Pith. sign in

Paper Citation Record · LEDGER

Correlation flow governs learning at criticality

As of 18 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2608.08350.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.08350 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:17:57.968936Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

67 of 67 outbound references displayed

  • verified exact1
  • verified fuzzy35
  • unresolved30
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ad0b7081-e098-4c6d-9fca-392d549a3c6e · outbound

This paper cites In particular, it shows that the asymptotic NTK is strongly governed by the correlation dynamics.

Correlation flow governs learning at criticality In particular, it shows that the asymptotic NTK is strongly governed by the correlation dynamics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.344533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.548880Z digest=sha256:c24d60821c76c7fcd64fcb5c0d772fd27f60d1952aefb0dd38755f8c589a4ce9

Observation 837f09f2-f5eb-4854-bf9a-881e9b1bea56 · outbound

This paper cites Brown, B.

Correlation flow governs learning at criticality Brown, B

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.327875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.559642Z digest=sha256:b82d2c6493e66093e66e7c81d448eec83364fe0e42feb26d7f45eecb899b6e1e

Observation 64c32991-a6e5-4519-9af2-ae19dff3a52a · outbound

This paper cites Scaling Laws for Neural Language Models.

Correlation flow governs learning at criticality Scaling Laws for Neural Language Models

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-12T00:17:57.565727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:17:57.565727Z digest=sha256:c311033228936b423318a48f9ef3976c6b7769db90c5b479fa34c4830a93848a

Observation 0c9b3deb-d71e-494c-b732-f77f1ef2d400 · outbound

This paper cites Varoquaux, S.

Correlation flow governs learning at criticality Varoquaux, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.312024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.571815Z digest=sha256:42ec981b4d458ec43f3b9bf5f36436678871b0329fed4c8a29f77a4893703109

Observation db810fa3-7c25-497c-a0d5-bbd89341ca32 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.293616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.578477Z digest=sha256:d577981a18ecc61b3d8243839baedb91c5fc0e7b835007fb827bdf864f8b8ac8

Observation 87be659a-7b0b-4298-b92a-ac26690c5366 · outbound

This paper cites Bengio, P.

Correlation flow governs learning at criticality Bengio, P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.276995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.585807Z digest=sha256:bcd905c549781a6d317c9a69339be73708df5f75e8f52fbdcf4aa6f3c5a25d22

Observation abccb503-4797-4100-8ca6-156aed3cb2dc · outbound

This paper cites Glorot and Y.

Correlation flow governs learning at criticality Glorot and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.260788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.593127Z digest=sha256:ab098c1234006e6c3914e21f4efb50700f58aa4838aea2f6be5fccc01c9702b0

Observation 80861a02-b448-4c1e-a0a1-9a617d5c6e05 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.237517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.599417Z digest=sha256:2aa1e6331f967caac0b0796fd6a3b8b4a0ff8ca2fb4ddf9df04657d0cf2fa150

Observation fe9bbb00-3c64-41f8-8af0-92dca7606cfb · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.220372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.607630Z digest=sha256:1cdb7a32498366e1ce2087106261ad10af25b56553484e4803aac713879287d2

Observation dcb0a09e-9bb5-40e0-a294-f38c4e6faef0 · outbound

This paper cites There Will Be a Scientific Theory of Deep Learning.

Correlation flow governs learning at criticality There Will Be a Scientific Theory of Deep Learning

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T00:17:57.613740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:17:57.613740Z digest=sha256:6c78a43c24329350be35e9ef137ad88d35b4e174c9206d69d480ea72392fbbd0

Observation ee55dbde-d7f5-4fc3-ae2e-bf7c6b199d10 · outbound

This paper cites Sompolinsky, Statistical mechanics of neural networks, Physics Today41, 70 (1988).

Correlation flow governs learning at criticality Sompolinsky, Statistical mechanics of neural networks, Physics Today41, 70 (1988)

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T00:17:57.626076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:17:57.626076Z digest=sha256:c6fe023948e6c69cf9fbb15c530a80e38d46507b57faa4cb7fdb25e7a011b706

Observation 47d531a2-cf43-46e5-9986-4343166d8e9b · outbound

This paper cites Carleo, I.

Correlation flow governs learning at criticality Carleo, I

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T00:17:57.631701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:17:57.631701Z digest=sha256:6e5f2e53e79e7b5a0282a334f8c22e8e7b8dabdf5e636aaa2fbb1291ffce4aac

Observation 90b4a365-ec90-4b19-b6a6-89f8106ee938 · outbound

This paper cites Bahri, J.

Correlation flow governs learning at criticality Bahri, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.180299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.638121Z digest=sha256:5870bc2a2fc1f01c44c1df058d9f21a9c9f860d81a6d0e91d7734bce18573dd8

Observation 81f72837-dad6-4e25-bba5-7aea92404c16 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.163876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.643787Z digest=sha256:10241b5beea9999b48de7179ac2a0fb015146240f7dfdf971c9ea270d322f969

Observation bd42d376-3c26-458f-9955-3c118b1995a4 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.147348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.650489Z digest=sha256:589740a5cb812809c50972de62166b61030dcb94d418fdbe007ed74e60faf49c

Observation e8ddd103-f8ff-4437-9522-556a0dd363dc · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.131056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.657117Z digest=sha256:87e55a679d5027f4f1c1832a14b3b092f54a126fb1198267cf518cc95ac36f8b

Observation 977fc84a-b9f1-439c-ba28-f15c457dab21 · outbound

This paper cites Rotskoff and E.

Correlation flow governs learning at criticality Rotskoff and E

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.114862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.662926Z digest=sha256:c53d1aced22f1c70ffcb18df3524e5d26e1505d4fa18fe2346158d25cee04b15

Observation 177cce20-0f8b-4dc3-849b-3234061fd375 · outbound

This paper cites Chizat, E.

Correlation flow governs learning at criticality Chizat, E

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.096024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.670150Z digest=sha256:fc4dca66f87a9238d387921998dcb6e790dd4a4ce1ecc4cb197601d1aea68e1d

Observation 25712cef-11cf-4fe2-b87a-1597877dd8d5 · outbound

This paper cites Bahri, B.

Correlation flow governs learning at criticality Bahri, B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.078535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.675426Z digest=sha256:330e40132a5d59a5f296eee7b2280ebc6c736d08b90bd9c2e6eed9b1587889dc

Observation ea3d4079-39ae-4f10-a0f0-5bb263c97e98 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.062215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.682853Z digest=sha256:824bd39ed94869fceea0f25552778e4fc09b5c1e45a988489ad18fdbe0b6c8f4

Observation e4b655c1-8a98-4231-a5d9-fca506e1fc39 · outbound

This paper cites Poole, S.

Correlation flow governs learning at criticality Poole, S

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.046420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.688652Z digest=sha256:2d729e17255d44d4902b64c0e11fcb8522ef9fa170be736eb74ed0a83fc594e6

Observation 2dda09f3-33a8-4438-b474-7116a0e74d02 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:59.030432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.696607Z digest=sha256:0b35f85ec32700e7181d76b58635cce0faa2fb8c60184226dd59c4bc816cb30e

Observation dc783da6-31d6-4268-9f7b-222bdb324cb5 · outbound

This paper cites Doshi, T.

Correlation flow governs learning at criticality Doshi, T

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:59.012590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.702543Z digest=sha256:bf9eb0e1bf42f78c7e223e9009463b3a589a7bac62e070ba85529743ae39a7cb

Observation f9bab682-df22-49d1-9585-4691f88d2b5b · outbound

This paper cites Pennington, S.

Correlation flow governs learning at criticality Pennington, S

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.994623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.708401Z digest=sha256:630b369f3d0a34dc957ee5e064c091819e16d767351268b48ccf6ddef5315fd4

Observation 2c98e4b4-efb2-4977-b31b-14d93584c59c · outbound

This paper cites Collins and T.

Correlation flow governs learning at criticality Collins and T

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.978565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.715149Z digest=sha256:2299a0bb154c0cc57931ee32b58cf55092d22232d44405419f5de3650ed851fc

Observation 1aafd8c3-200f-4338-bc1f-81e317ecd103 · outbound

This paper cites Jacot, F.

Correlation flow governs learning at criticality Jacot, F

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.962588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.721397Z digest=sha256:7fa714b67b5c34784b9bc7f33ab466464879c74c240ce77ab225f3256cfbc1b8

Observation 855da077-ce93-4b5b-9979-b7121bb3b7ce · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.944340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.726934Z digest=sha256:b714d113d7cdedce71695b0fa652d3b54a84b8fbe9cd88398d26ef9c079fa445

Observation 88b5d8f2-dfcd-4bbd-849f-a49bc6bee915 · outbound

This paper cites Geiger, S.

Correlation flow governs learning at criticality Geiger, S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.927494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.732620Z digest=sha256:c23b910fb02d63f786c796e3c89f30110d517390ae57182222e14ef697a1bf2b

Observation 56514ace-f576-4db3-afce-e8a3473d4840 · outbound

This paper cites Graldi, A.

Correlation flow governs learning at criticality Graldi, A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.908636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.740241Z digest=sha256:0fb2ff967c81e15df024b6fe82004f6bd2ada38da5ec816296a7081b80b05f79

Observation 683eba87-a93a-432f-8479-d2f30761661b · outbound

This paper cites Yaida, Non-gaussian processes and neural networks at finite widths, inMathematical and Scientific Machine Learning(PMLR, 2020) pp.

Correlation flow governs learning at criticality Yaida, Non-gaussian processes and neural networks at finite widths, inMathematical and Scientific Machine Learning(PMLR, 2020) pp

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.892529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.745854Z digest=sha256:baf828dd8684abdd3c34f8b0affff9e1797d4fc23c03d2a141fba498e38e4e67

Observation 077f42d4-9133-49d9-81ce-6b75810fe820 · outbound

This paper cites Hanin, Random fully connected neural networks as perturbatively solvable hierarchies, Journal of Machine Learning Research25, 1 (2024).

Correlation flow governs learning at criticality Hanin, Random fully connected neural networks as perturbatively solvable hierarchies, Journal of Machine Learning Research25, 1 (2024)

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.876261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.751797Z digest=sha256:bdb52444d8d8142dc93ef11345b67a4c15dc8a701c912b5d22446a4ff126529c

Observation b271d63a-4479-48fe-924a-ddc87372a8d4 · outbound

This paper cites Hanin and M.

Correlation flow governs learning at criticality Hanin and M

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.859845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.756693Z digest=sha256:c27c53d508e656c6777091157893dd06a7fdbe24517cdf7e1c9c4f730e221b81

Observation 3c39283f-4aa6-4a92-98ff-4a0920b0f1fb · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.841918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.761800Z digest=sha256:757db694bbfabd0ed4926d90822237ce09d82c1e3d1e5d95288ee5fd1bdd1cad

Observation b60c682f-1bbe-4f4c-bcc6-0b718a55927a · outbound

This paper cites Scaling Limits of Wide Neural Networks with Weight Sharing: Gaussian Process Behavior, Gradient Independence, and Neural Tangent Kernel Derivation.

Correlation flow governs learning at criticality Scaling Limits of Wide Neural Networks with Weight Sharing: Gaussian Process Behavior, Gradient Independence, and Neural Tangent Kernel Derivation

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-12T00:17:57.766785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:17:57.766785Z digest=sha256:9688f74ee499408f3aa5a9320114f4bfa92a26ffea6c8222630814d24f8a85b9

Observation ce6c75d8-c60c-4bf8-b8b6-35caaddbe526 · outbound

This paper cites Fan and Z.

Correlation flow governs learning at criticality Fan and Z

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.824475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.772393Z digest=sha256:43c7bceb3767dc10da9ab80b930dcf5f3e9e4b67b7970cc84d06385ac626c87c

Observation 32a6b651-4988-4a92-9150-ffbad579329e · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.805430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.779177Z digest=sha256:f7f16396752f2e524cf7b64d2ff1254e0580cb91265e6b6fe75547e7f3ad524a

Observation 9c684ccc-4c1e-4138-91a2-dafd2e224979 · outbound

This paper cites Sitzmann, J.

Correlation flow governs learning at criticality Sitzmann, J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.787261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.785494Z digest=sha256:e2ddbca889a3b7ef7c6c985f4bd13874dff23dfe98c31a5a70912124988ad49f

Observation 6671415a-753a-4878-84d1-50edf486d0b6 · outbound

This paper cites Raissi, P.

Correlation flow governs learning at criticality Raissi, P

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.770827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.792223Z digest=sha256:c6d99c66450a0c7d1400d6dcac0e1fdd812ac3a1fbd7c8b67cf328b1eb5ba798

Observation 20869c14-d332-4c5a-9c91-ac2a5c510e1c · outbound

This paper cites Hayou, A.

Correlation flow governs learning at criticality Hayou, A

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.755309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.797628Z digest=sha256:3af612617d257c09cb2abb0453bdfb129e17d3900becf75a0ee91a8b1c62bf60

Observation 8e1410c7-1dd8-4cba-a245-538dcd40e231 · outbound

This paper cites Combette, A.

Correlation flow governs learning at criticality Combette, A

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.738415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.802777Z digest=sha256:2a5101aa22ff69b2092459f4bf1921dcfcf0949d3556a52a0657a9eb1ce25207

Observation 02644171-eb97-418d-b75b-68cde920b112 · outbound

This paper cites Tancik, P.

Correlation flow governs learning at criticality Tancik, P

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.715142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.807886Z digest=sha256:32f51f74a6453dc2abc933146a0f14bd38525c02388585b1342fb0da710fcd3d

Observation 70ca4a6e-4241-4b44-9f8b-c8ba1823563f · outbound

This paper cites Free probability and random matrices.

Correlation flow governs learning at criticality Free probability and random matrices

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:17:58.204788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.813941Z digest=sha256:21c2425aa7173e1390918147218f9bf4bea6b396abd970eda7b15d43aad8055e

Observation d11937df-dab8-4e2c-8e4c-227e65f24fea · outbound

This paper cites Tensor Programs III: Neural Matrix Laws.

Correlation flow governs learning at criticality Tensor Programs III: Neural Matrix Laws

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-12T00:17:57.820218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:17:57.820218Z digest=sha256:cc9b9e9a23488d5ade72ce9ae938f56812958cbb8e1de05b1f71fac74448c745

Observation 7f41ae7f-da0f-499b-a63f-62dad5992a18 · outbound

This paper cites Basri, M.

Correlation flow governs learning at criticality Basri, M

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.695930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.826812Z digest=sha256:dff7635a6e24275a6d1270ec47732ccb60b4fd713e09ecf97da7bd7ceb738e38

Observation 547d0ccb-b3f9-473f-a2ca-b57303073eed · outbound

This paper cites Ronen, D.

Correlation flow governs learning at criticality Ronen, D

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.677117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.832241Z digest=sha256:30c36e3bcf38dcdc4b72a80d20896618aaef321fdc2a5df2e4d1d5759ffae30d

Observation e718e65a-01a2-47a4-9a48-bf3a94083635 · outbound

This paper cites Rahimi and B.

Correlation flow governs learning at criticality Rahimi and B

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.656212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.838837Z digest=sha256:4616759f0a772959aeb6e26e6371437075fe2c9013999678a4fd76eb720e9db8

Observation 72b0f599-24ee-46ee-a7e8-b47a5d2d4e49 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.639098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.844738Z digest=sha256:a4714776701c666a55d84c1c41339d697f381dbf66d00fc6c89a39ce5d6f306c

Observation 15a722e0-0596-4320-92fc-9f173569bd58 · outbound

This paper cites Yang and S.

Correlation flow governs learning at criticality Yang and S

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.620173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.850191Z digest=sha256:aff10a50c8f2c42075bd48aff53fababedb473021c2ac10e65658baef3f78822

Observation d39b2260-8671-4445-a748-4995ef1a0807 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.603228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.855262Z digest=sha256:eae0907150cba3f70d88a32786c8916d18fe1dde943826dbe7526e304df70c2d

Observation 302250f4-5237-4ec0-a549-fe65a0827bfa · outbound

This paper cites Price, A useful theorem for nonlinear devices having gaussian inputs, IEEE Transactions on Information Theory 1958-jun vol.

Correlation flow governs learning at criticality Price, A useful theorem for nonlinear devices having gaussian inputs, IEEE Transactions on Information Theory 1958-jun vol

Reference 50

Resolution
metadata mismatch
raw_fallback, observed 2026-08-12T00:17:58.162645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.860284Z digest=sha256:fb55ab6931cb5eded72af89e154947c77ac9e7ee711ba85e3b3bcf488ee94b6c

Observation 729b2999-7e9e-47ba-9e77-a263a76409ae · outbound

This paper cites Mingo and R.

Correlation flow governs learning at criticality Mingo and R

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.586607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.865457Z digest=sha256:4523027573c24a91388f75f9e9170d198e017436a127cd6aa3f143c6e273db57

Observation ac563fcf-c448-4a81-b87c-70569d0a1417 · outbound

This paper cites We begin by rewriting the fixed point condition: K⋆ =F K(K⋆) :=σ 2 wE [ ϕ(z)2] +σ 2 b withz∼N(0,K ⋆).(B2) We consider two distinct cases depending on the value ofσ2 b.

Correlation flow governs learning at criticality We begin by rewriting the fixed point condition: K⋆ =F K(K⋆) :=σ 2 wE [ ϕ(z)2] +σ 2 b withz∼N(0,K ⋆).(B2) We consider two distinct cases depending on the value ofσ2 b

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.569491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.871053Z digest=sha256:3252e38ddbc3396d4f62bea0c53cdbc5d5397033fbd099aa9a42c8179a1d91ad

Observation a470fdc3-f5fe-4bbd-a70a-ca9d489d2724 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.550130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.877487Z digest=sha256:bb24c252871c0f120f14fb2f98fb76ff8f0ab5181e529601dfeea08febc18e68

Observation c6636421-a898-48b8-899b-04e8b28ab22d · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.532501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.884193Z digest=sha256:3883040609facec467cf7af511782ca232a3aa103b2bf94b1f66fb2b2e2a915e

Observation 61971d93-aa6b-444d-b243-3beb61f92aba · outbound

This paper cites In other words, we want to show that, for everyKαβ 0 in this interval, the sequence generated by the limiting map converges.

Correlation flow governs learning at criticality In other words, we want to show that, for everyKαβ 0 in this interval, the sequence generated by the limiting map converges

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.512422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.891507Z digest=sha256:4daaf30878b5ec8ae0a6ce1f333aa86e32720d29e62d61fddf15a22e5bfd0ed6

Observation 53a289be-eed9-4b16-a798-32d635522f5f · outbound

This paper cites Discussion of HypothesisH2We verify that hypothesis (H2), equivalently stated in (B7), is reasonable and holds for common activation functions.

Correlation flow governs learning at criticality Discussion of HypothesisH2We verify that hypothesis (H2), equivalently stated in (B7), is reasonable and holds for common activation functions

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.492558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.897080Z digest=sha256:9f77e42241f2cd8b995ffb465b4f6926666638f3f11eb554faac34e051ae8796

Observation 9b0f8655-53bc-4a28-80c6-d90f994a1ba0 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.473308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.905887Z digest=sha256:b4b5b8b4d73a976644e5e879fe3f9f8f3200e515305658e25443e377003215fa

Observation f302d7a3-9689-4264-9255-68e9b8a97599 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.455446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.912105Z digest=sha256:e739fe1e863a130632c73a35880bcc678789ad18f3c207cd1097c96157c0d6d1

Observation d7e433cf-4d09-4deb-910d-3e3c1aa76b86 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.437625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.918146Z digest=sha256:1cfc02cc60a525782a32909179dcece03addfa02513dbd96647264d3c93e3929

Observation 76596af8-c050-4995-a56f-8d0ecfa55e08 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.417723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.924390Z digest=sha256:c9ffff48a11841fd7a4786d85e7afbf9f8ca9b91fcc5966f5456d25e9218bed1

Observation 7af884d3-dc09-4eef-b18c-3e373f6dd9d9 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 61

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.398173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.930609Z digest=sha256:d53b3b103c9d0d951e6df34efbd681ce9f73c30c7800f6f5acd8b1053de30cd0

Observation 182c23fd-a08a-4d15-ac5f-d77c744bba76 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 62

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.379051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.938170Z digest=sha256:228af6b15b533a78b1da153946ae537ec03e8da2fde0085a8b1b8bd345a13271

Observation 80035966-efe5-4411-9ca8-06425e6c3dbd · outbound

This paper cites This gives the scaling ( m(2) Dα ℓ Dβ ℓ /(m(1) Dα ℓ Dβ ℓ )2−1 ) =O(ℓ−2), giving us the convergence of the studied sum.

Correlation flow governs learning at criticality This gives the scaling ( m(2) Dα ℓ Dβ ℓ /(m(1) Dα ℓ Dβ ℓ )2−1 ) =O(ℓ−2), giving us the convergence of the studied sum

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.358540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.944781Z digest=sha256:51bc92a56c26cd999ad52ffd39181c6823712f9853c86fc9f21f09a80852dcb3

Observation 32b0e3f1-a95a-448c-8c1c-74b931330a5a · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.339652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.949978Z digest=sha256:6001e154cb5c175c8c912b6e135236b8ef0df63d02ba682e494ec17379cf702e

Observation 90debe0c-43a4-4be4-9257-620453d5b97e · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.316061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.955616Z digest=sha256:19d1754cebc4eb2929892d786f2a024b3423c2b1cfbf4498e6aaae0ef8abcc0c

Observation cf00afc8-9ef6-4715-80ae-5cc16235aed1 · outbound

This paper cites Bound on ‖‖‖1 L ∑L ℓ=1 Pαβ L→ℓ−I ‖‖‖ 2 F In this section we will prove(91).

Correlation flow governs learning at criticality Bound on ‖‖‖1 L ∑L ℓ=1 Pαβ L→ℓ−I ‖‖‖ 2 F In this section we will prove(91)

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:58.298586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.963392Z digest=sha256:3c376afd5d65a20cd51a5d4e1f2265ebb70c2bd3109df1518a3eea011bda2af1

Observation 5b8d914a-fc66-475a-ae04-62847fdeae91 · outbound

This paper cites an unresolved cited work.

Correlation flow governs learning at criticality Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:58.277543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-12T00:17:57.968936Z digest=sha256:ea0dc19a4ce7a71f8e3354cb04f2daf8be0be7adaa3c51d97ccbd4323c338088

Pith citing papers

No inbound Pith citation observations are available.