Pith. sign in

Paper Citation Record · LEDGER

Numerical invariants of normed matrix factorizations

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.04437.

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

pith.paper-citation-record.v1
2412.04437 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:33:58.822289Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

26 of 26 outbound references displayed

  • verified exact7
  • verified fuzzy5
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b010444-1651-45df-b9f4-db21d16c218a · outbound

This paper cites Auroux, Mirror symmetry and T -duality in the complement of an anticanonical divisor , J.

Numerical invariants of normed matrix factorizations Auroux, Mirror symmetry and T -duality in the complement of an anticanonical divisor , J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:33:59.209295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.701198Z digest=sha256:eda03376476294a396da68b436406fbe78126ccda23fcf348317b2eed8aebf47

Observation 710171aa-f3d4-4496-aa0b-619f8d2fcc4e · outbound

This paper cites Cannas da Silva, Symplectic toric manifolds, Symplectic geometry of integrable Hamiltonian systems (Barcelona, 2001), Adv.

Numerical invariants of normed matrix factorizations Cannas da Silva, Symplectic toric manifolds, Symplectic geometry of integrable Hamiltonian systems (Barcelona, 2001), Adv

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:33:59.194647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.706833Z digest=sha256:24c2d7deb046cf4e87c4117ca9b613ffe363b1dfcde23abbea450a77585ab830

Observation cc5171cc-6ad0-4a03-9508-d62e75f9a041 · outbound

This paper cites Cho, Counting real J-holomorphic discs and spheres in dimension four and six , J.

Numerical invariants of normed matrix factorizations Cho, Counting real J-holomorphic discs and spheres in dimension four and six , J

Reference 3

Resolution
verified exact
doi, observed 2026-08-11T21:33:59.026691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.711617Z digest=sha256:f26cb88492fb3870261e658a37cb40c5e11f5e95240f71a03a13c1a2223f89e5

Observation 73e807bc-f301-4d6b-a3d1-b594e14c5340 · outbound

This paper cites Delzant, Hamiltoniens p´ eriodiques et images convexes de l’application moment , Bull.

Numerical invariants of normed matrix factorizations Delzant, Hamiltoniens p´ eriodiques et images convexes de l’application moment , Bull

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:33:59.179876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.717046Z digest=sha256:bdd72fca555eadad70f4c3520e95d4ca3993cad27a5a5d6e82b7fc970825e16c

Observation 854524b1-5704-48ec-ba46-c4f069c77a65 · outbound

This paper cites Eisenbud, Homological algebra on a complete intersection, with an application to group representa- tions, Trans.

Numerical invariants of normed matrix factorizations Eisenbud, Homological algebra on a complete intersection, with an application to group representa- tions, Trans

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.722509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.722509Z digest=sha256:2186bf9be3562342b044b56ead20c749e981c0e8f9250a3e1988e6b1084502df

Observation b1c81553-888c-46ca-a683-c0b49da3bda1 · outbound

This paper cites Fukaya, Y.-G.

Numerical invariants of normed matrix factorizations Fukaya, Y.-G

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.727878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.727878Z digest=sha256:24f9ddb964efed0403297a57c41c4d1ccbe4667eed5fbb8faa7c93cf96764363

Observation 8ed28574-54ea-43df-868e-0496c8618945 · outbound

This paper cites Georgieva, Open Gromov-Witten disk invariants in the presence of an anti-symplectic involution , Adv.

Numerical invariants of normed matrix factorizations Georgieva, Open Gromov-Witten disk invariants in the presence of an anti-symplectic involution , Adv

Reference 7

Resolution
verified exact
doi, observed 2026-08-11T21:33:58.989366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.732956Z digest=sha256:257ee0fd683b06198b911726ea4789cf9f6e1499def2cad9d72e74e4dcd7e20e

Observation 14a0e33e-cf68-4aee-9696-3216f117f7dd · outbound

This paper cites Giterman, Generalized superpotential, to appear.

Numerical invariants of normed matrix factorizations Giterman, Generalized superpotential, to appear

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:33:59.164162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.737382Z digest=sha256:905769d3a1e0d184b6b4ff211aef860c218dd31914c49b0a1d437955f47b3a0a

Observation 89cca28a-f689-4ecd-8341-f20f250028fc · outbound

This paper cites Mirror Symmetry.

Numerical invariants of normed matrix factorizations Mirror Symmetry

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.741740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.741740Z digest=sha256:92c533b024614e2d1228f66feb8d9df072d8370dde36754761ca4fc57813417d

Observation 529daf35-5fb6-482c-974d-1d1925715b2b · outbound

This paper cites Kapustin and Y.

Numerical invariants of normed matrix factorizations Kapustin and Y

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.747177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.747177Z digest=sha256:939b6af35ee74e1ffb7f8f45e556db5503a13b1fe5b1345e74cb61e39ac2b356

Observation 689e65f6-2dd8-4e27-b950-e8fb254b5a4c · outbound

This paper cites Topological Correlators in Landau-Ginzburg Models with Boundaries.

Numerical invariants of normed matrix factorizations Topological Correlators in Landau-Ginzburg Models with Boundaries

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.752102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.752102Z digest=sha256:8096cc23284169c28841ffecb9297a6d1d917e8f37260bc639f5d9181800ea98

Observation 1eab92ca-593d-4b88-a60a-56ea481500b1 · outbound

This paper cites Kontsevich and Y.

Numerical invariants of normed matrix factorizations Kontsevich and Y

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T21:33:59.149206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.757434Z digest=sha256:5a851c554f7487d9a3e8c68d716e73de0e48e1a21528752c2571c63530f9b056

Observation b30a8331-d640-44c5-b337-0101a0627f92 · outbound

This paper cites Kontsevich, Homological algebra of mirror symmetry , Proceedings of the International Congress of Mathematicians, Vol.

Numerical invariants of normed matrix factorizations Kontsevich, Homological algebra of mirror symmetry , Proceedings of the International Congress of Mathematicians, Vol

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.762581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.762581Z digest=sha256:c65737aa1c4b4879d1f5f2d63aea5702e2fff453ef4945b93036398f290f350e

Observation de3a5e7d-c191-4903-bb56-32986b4d7150 · outbound

This paper cites an unresolved cited work.

Numerical invariants of normed matrix factorizations Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.767080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.767080Z digest=sha256:64f08c670776aa54523007d74575c59ff84c157ce140d920d6234101124f1f35

Observation ac2c8944-8da9-4cdf-860c-f85660d69b01 · outbound

This paper cites Loday, Cyclic homology , second ed., Grundlehren der mathematischen Wissenschaften [Fun- damental Principles of Mathematical Sciences], vol.

Numerical invariants of normed matrix factorizations Loday, Cyclic homology , second ed., Grundlehren der mathematischen Wissenschaften [Fun- damental Principles of Mathematical Sciences], vol

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.772164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.772164Z digest=sha256:27a62294489b688cd44e3736f3becb900385d649b706491d3cebf798cfd37ebc

Observation 038852eb-6159-406a-ac96-a470178ab96b · outbound

This paper cites an unresolved cited work.

Numerical invariants of normed matrix factorizations Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:33:59.122738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.776855Z digest=sha256:801aa2cc433c33660db827bbc0765145a169e3ea2a35576ebc913401f6360970

Observation c430558a-b896-4236-9339-e32496840717 · outbound

This paper cites an unresolved cited work.

Numerical invariants of normed matrix factorizations Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:33:59.106931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.781226Z digest=sha256:36f95f821903a63f438fed1abb696c4f80e4820faf8e081d9de5b1d2b8e87ac1

Observation a6ba2fed-4f45-414c-b941-aa683ebd6676 · outbound

This paper cites an unresolved cited work.

Numerical invariants of normed matrix factorizations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T21:33:59.091070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.785648Z digest=sha256:4d6e7a8c7daff510b1959c3131b46d35afa570e551c4ee1060e4b75b7e3d65fe

Observation 95bd9f53-e0b1-4f21-b90d-12e3f506fea4 · outbound

This paper cites Pandharipande, J.

Numerical invariants of normed matrix factorizations Pandharipande, J

Reference 19

Resolution
verified exact
doi, observed 2026-08-11T21:33:58.940567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.790117Z digest=sha256:14f2bf48c825e51c126a625d0eb2367d2476383c9d3eeb174240f5eb077bafdf

Observation ea97f25e-609b-4de0-b123-f5f34c9019b1 · outbound

This paper cites Shklyarov, Calabi-Yau structures on categories of matrix factorizations , J.

Numerical invariants of normed matrix factorizations Shklyarov, Calabi-Yau structures on categories of matrix factorizations , J

Reference 20

Resolution
verified exact
doi, observed 2026-08-11T21:33:58.926059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.794657Z digest=sha256:4b366f6ea1a0728bc80a95983f656d3ad6c50baee4b344a4336a0a331872728c

Observation 26e3b4c1-f0c6-418c-b577-8765b75244e1 · outbound

This paper cites Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions.

Numerical invariants of normed matrix factorizations Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.799256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.799256Z digest=sha256:391639d150b0235b2e2ec0ebcad84db112dc3d87d1902d7d631d3bf8b35f6321

Observation 7ccc1bd6-6d15-42a8-bf54-ab07898952db · outbound

This paper cites an unresolved cited work.

Numerical invariants of normed matrix factorizations Unresolved cited work

Reference 22

Resolution
verified exact
doi, observed 2026-08-11T21:33:58.910652Z

Source-reported events for the cited work

correction dated 2022-02-01. Source: crossref record 10.1007/s00039-022-00591-x->10.1007/s00039-021-00583-3:correction, observed 2026-07-11T02:58:16.494135+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-08-11T21:33:58.804070Z digest=sha256:0a74b60707e9b28f3f92dd968f4563bc43b106fb2a049e7115c02ed9befe5586

Observation c6fb2d4a-d795-443b-9d6f-d7cfe801e26e · outbound

This paper cites an unresolved cited work.

Numerical invariants of normed matrix factorizations Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.808632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.808632Z digest=sha256:f098e3e014f0d5a9b38ccbca4c651e5013927dfdb62a30bb63a0d88867d6859d

Observation 5dfd0b30-9c4a-4d2b-ae2e-91cafb778d74 · outbound

This paper cites Walcher, Opening mirror symmetry on the quintic , Comm.

Numerical invariants of normed matrix factorizations Walcher, Opening mirror symmetry on the quintic , Comm

Reference 24

Resolution
verified exact
doi, observed 2026-08-11T21:33:58.885177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.813159Z digest=sha256:ffc268ebccee307e291e0a3660db6be23e345c4cd50e918be93c3b3a7c2d57cc

Observation 5f9707fb-3a51-4d9e-a4c0-8265212c6885 · outbound

This paper cites Welschinger, Invariants of real symplectic 4-manifolds and lower bounds in real enumerative ge- ometry, Invent.

Numerical invariants of normed matrix factorizations Welschinger, Invariants of real symplectic 4-manifolds and lower bounds in real enumerative ge- ometry, Invent

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-11T21:33:58.817710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T21:33:58.817710Z digest=sha256:d7b961757267f4b80d9ca40d74b5ddf605ff735478cce93ff7e7a434520a621b

Observation 06fbfe8a-d49a-4380-a33c-07426658adf4 · outbound

This paper cites Welschinger, Spinor states of real rational curves in real algebraic convex 3-manifolds and enu- merative invariants, Duke Math.

Numerical invariants of normed matrix factorizations Welschinger, Spinor states of real rational curves in real algebraic convex 3-manifolds and enu- merative invariants, Duke Math

Reference 26

Resolution
verified exact
doi, observed 2026-08-11T21:33:58.859169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T21:33:58.822289Z digest=sha256:c07ba039f701e1a8cf5e751af738648ae2bd58689c31c0ab8463b53ee290ce7b

Pith citing papers

No inbound Pith citation observations are available.