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Paper Citation Record · LEDGER

Graphical Functions by Examples

As of 3 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2604.25739.

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

pith.paper-citation-record.v1
2604.25739 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-07T15:43:38.415325Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:54:14.228734Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

  • verified exact40
  • verified fuzzy14
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 939a2a83-feec-448c-9d27-f95a4c17f0a2 · outbound

This paper cites Graphical functions and single-valued multiple polylogarithms.

Graphical Functions by Examples Graphical functions and single-valued multiple polylogarithms

Reference 1

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arxiv_id, observed 2026-05-12T00:11:15.091806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:e2d85c81cbfbd3ce2e39dd66ca47e58dbcb85248ab54d6e69537bdf99b75b617

Observation b5ec9a22-5904-4e89-910c-9cc588defa76 · outbound

This paper cites Graphical functions in even dimensions.

Graphical Functions by Examples Graphical functions in even dimensions

Reference 2

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arxiv_id, observed 2026-06-10T02:10:29.456633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:aa51cffa40bbef5132519a3bfc27abe5c32c927d82d33e5b619994166c5e9518

Observation 0ffac0e0-8e5f-465e-bb96-64433749071e · outbound

This paper cites $\phi^3$ theory at six loops.

Graphical Functions by Examples $\phi^3$ theory at six loops

Reference 3

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arxiv_id, observed 2026-05-12T00:11:15.261002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:a8daf708a4c1cf6bba47ce97063a288c6125d92bd6562805775197790c77de79

Observation 0ec7551f-8f89-4499-8769-07b0ea4d41a7 · outbound

This paper cites Seven loops $\phi^4$.

Graphical Functions by Examples Seven loops $\phi^4$

Reference 4

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arxiv_id, observed 2026-05-12T00:11:15.365663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:dfce80eadeab665a7e1e7bb0451e7ae5aa413e02d463bef971a86df18042bb45

Observation 0ac62020-0611-48c5-b70d-8c46436d1e05 · outbound

This paper cites Leading singularities and off-shell conformal integrals.

Graphical Functions by Examples Leading singularities and off-shell conformal integrals

Reference 5

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arxiv_id, observed 2026-05-12T00:11:15.324447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:675ad1a04b62585bba0fe59dcd2941768b5fac56f3ef9d82f55c8f9eb4a2994d

Observation 3a121292-6598-4d5e-bd4b-1ce0083c8e99 · outbound

This paper cites Schnetz,HyperlogProcedures, https: // github.

Graphical Functions by Examples Schnetz,HyperlogProcedures, https: // github

Reference 6

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raw_fallback, observed 2026-05-27T03:03:27.063253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:e36732110e4b688e22fed2793480509430ab9e63bbda569a8b2ab29bf71edad4

Observation 028842c0-dbc7-4bb0-a9e6-dd2af6831474 · outbound

This paper cites Weinzierl,Feynman Integrals.

Graphical Functions by Examples Weinzierl,Feynman Integrals

Reference 7

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doi, observed 2026-05-09T02:19:38.737305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:fe93576c477d048c2bd705edd71570a5ad1539067f58c1150b28dabe514bf936

Observation 13ddaaf0-a335-4bdb-8ae8-717363ece8b3 · outbound

This paper cites Deligne,Le groupe fondamental de la droite projective moins trois points, inGalois Groups over Q, vol.

Graphical Functions by Examples Deligne,Le groupe fondamental de la droite projective moins trois points, inGalois Groups over Q, vol

Reference 8

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raw_fallback, observed 2026-05-27T03:03:27.052508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:69a380b0a3abf902394e1f03dabe7cec02448a2e6a30fe5622de6e9f3bec863c

Observation de8e68cf-21d7-4f9d-930f-76d067d4a7d8 · outbound

This paper cites Brown,Polylogarithmes multiples uniformes en une variable,Comptes Rendus.

Graphical Functions by Examples Brown,Polylogarithmes multiples uniformes en une variable,Comptes Rendus

Reference 9

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verified fuzzy
raw_fallback, observed 2026-05-27T03:03:27.066113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:a2f01b2cdc860a6f5c0d40106f666b1116bac751fd9866e517b3a5f03b9822f8

Observation 746f86c5-a29e-497d-8274-b612c8fbcbc9 · outbound

This paper cites Single-valued hyperlogarithms and unipotent differential equations.

Graphical Functions by Examples Single-valued hyperlogarithms and unipotent differential equations

Reference 10

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raw_fallback, observed 2026-05-27T03:03:27.042988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:3d3010dfdd2e2c41f592f952f79b88a40b5baee5f0a79db90f9bb7ea87450add

Observation 8f5d5182-ad6c-49b6-96b8-944ba8b9bef2 · outbound

This paper cites Zagier,The dilogarithm function, inFrontiers in Number Theory, Physics, and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization, P.

Graphical Functions by Examples Zagier,The dilogarithm function, inFrontiers in Number Theory, Physics, and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization, P

Reference 11

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raw_fallback, observed 2026-05-27T03:03:27.049305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:47a2f57ae4e9c4a95a5b728912359a7a6a748c8c2728c19de370b1ff109e5a4d

Observation 51da7473-6d9e-49bb-a251-f18984bd9b0e · outbound

This paper cites Kontsevich and D.

Graphical Functions by Examples Kontsevich and D

Reference 12

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raw_fallback, observed 2026-05-27T03:03:27.068950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:efbad2b6339cdba09cb046e5d7a03c9879744e68dc6dc9617376f17325a1be3e

Observation feb80f4c-03da-48fa-9523-43c52f5418c9 · outbound

This paper cites Generalized single-valued hyperlogarithms.

Graphical Functions by Examples Generalized single-valued hyperlogarithms

Reference 13

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arxiv_id, observed 2026-05-12T00:11:15.097678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:638dbedbaa1677c7e657d7760761bfa5fc3f543e6612a2e9ec2de8a90026ae62

Observation 8ca923d1-b9c6-48b4-aa63-ec9e44a574bf · outbound

This paper cites Chetyrkin, A.L.

Graphical Functions by Examples Chetyrkin, A.L

Reference 14

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raw_fallback, observed 2026-05-27T03:03:27.075258Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:313d60f88cae1232c586a4c62b1dad795f7bbc08353de76ab72664d7ba349018

Observation d0e8edb3-5712-457b-916a-068e195b30b8 · outbound

This paper cites Calculation of the phi^4 6-loop non-zeta transcendental.

Graphical Functions by Examples Calculation of the phi^4 6-loop non-zeta transcendental

Reference 15

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verified exact
arxiv_id, observed 2026-07-04T14:33:33.397280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:cfcf1b272cf3d1b96b48368b231005153b0751e0c76e3580d934b27e7a0998d9

Observation 9be5bd31-7dd3-4a28-bdd0-e14913229b5a · outbound

This paper cites Quantum periods: A census of \phi^4-transcendentals.

Graphical Functions by Examples Quantum periods: A census of \phi^4-transcendentals

Reference 16

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arxiv_id, observed 2026-05-12T00:11:15.104935Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:12cccf62cbf424f07bb5f564a93881906b6c19fa9369559362024efc6885e734

Observation 52693303-44ae-4e36-99b6-9cd9e7c7b506 · outbound

This paper cites ’t Hooft and M.J.G.

Graphical Functions by Examples ’t Hooft and M.J.G

Reference 17

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raw_fallback, observed 2026-05-27T03:03:27.071923Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:97a37fedaed728fdd603bd3ebd52edb333901c5e9f5d068198e498ed6d6aa4c1

Observation 6f4cd2e4-fb0e-45e2-8a62-d8fc9b0fdbe8 · outbound

This paper cites Bollini and J.J.

Graphical Functions by Examples Bollini and J.J

Reference 18

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raw_fallback, observed 2026-05-27T03:03:27.055891Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:8587743c6610e95bfb1b9aab8aa5e31fda9fc854cbfba331324fb52f312b0715

Observation 07350b18-261f-4b29-b3a6-e7491e17a3a6 · outbound

This paper cites Graphical functions in parametric space.

Graphical Functions by Examples Graphical functions in parametric space

Reference 19

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arxiv_id, observed 2026-07-04T21:59:13.149001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:ac36a675987c44d0afe9849c366c8acaa367b2e48cece1c623af7fd069116d44

Observation cffe96ab-9823-45e8-9fff-60715ea32c68 · outbound

This paper cites Expansion by regions: an overview.

Graphical Functions by Examples Expansion by regions: an overview

Reference 20

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arxiv_id, observed 2026-05-12T00:11:15.231348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:586a95afe9d97abe39543b3cac2c586860bec23011339b62ed7b19a5d752200a

Observation fa243a80-ceeb-4959-afbe-f59ab40e0d67 · outbound

This paper cites Chetyrkin and F.V.

Graphical Functions by Examples Chetyrkin and F.V

Reference 21

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raw_fallback, observed 2026-05-27T03:03:27.046258Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:b5ef7d2448e23f6f305d6a53a23bd85c8b77f600fd41ac3cd528d695330a8c13

Observation bd4777b6-310f-4680-b95a-ad1f75e6077e · outbound

This paper cites High-precision calculation of multi-loop Feynman integrals by difference equations.

Graphical Functions by Examples High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 22

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arxiv_id, observed 2026-05-12T00:11:15.027553Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:2bd5c3be47eb3d9db0e18f6c1919c599774ab3923adb8898e4a197a6a978f194

Observation 7f0dd820-596e-4594-8eda-9b6a2969493b · outbound

This paper cites The massless higher-loop two-point function.

Graphical Functions by Examples The massless higher-loop two-point function

Reference 23

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arxiv_id, observed 2026-05-12T00:11:15.293469Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:d158196f51c67b06126ce14089b0f3e59a432dc6672204bbb44647b515a5e748

Observation e6aa39a1-f0bd-4dad-ac05-efcdf78981e7 · outbound

This paper cites Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals.

Graphical Functions by Examples Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

Reference 24

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arxiv_id, observed 2026-05-12T00:11:15.079325Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:a32d05ec22c414d16686020d4d52bf5ff992519120d6f6d4b9da4e5f3539c391

Observation 1fbbe515-6d82-4120-a418-3b96d94002ea · outbound

This paper cites Kardos, S.

Graphical Functions by Examples Kardos, S

Reference 25

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arxiv_id, observed 2026-05-12T00:11:15.160878Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:4e20c4fb9668cd480abdfa73fbfb91b465c9f2e2ddb708714f7249b1045cba30

Observation f034e9f8-73bc-4bf4-8aed-e2537c74ded2 · outbound

This paper cites Davies, T.

Graphical Functions by Examples Davies, T

Reference 26

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arxiv_id, observed 2026-05-12T00:11:15.371539Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:384e107e440730de0310814e25db1887fbe9f2da49b87f99cdd68d483754de94

Observation 442d03a1-171a-4e22-8a9b-3f6e63b36112 · outbound

This paper cites The Galois coaction on $\phi^4$ periods.

Graphical Functions by Examples The Galois coaction on $\phi^4$ periods

Reference 27

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arxiv_id, observed 2026-05-12T00:11:15.135374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:528c15581a986d9cb8366afb8b1fe25d937a68109649505f191c953083881326

Observation cdb6fc2e-e21f-487e-92dc-818f1ffce071 · outbound

This paper cites Feynman Amplitudes and Cosmic Galois group.

Graphical Functions by Examples Feynman Amplitudes and Cosmic Galois group

Reference 28

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arxiv_id, observed 2026-05-12T00:11:15.144130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:7da60996fd5aadd866c9bbcd0ae6e12058b251d846e824ea81fe8bc6510e4881

Observation e1c4bf57-e8ce-4cca-937b-dd0a58727a12 · outbound

This paper cites Notes on Motivic Periods.

Graphical Functions by Examples Notes on Motivic Periods

Reference 29

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arxiv_id, observed 2026-05-12T00:11:15.073723Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:813ea5feda6d58abfd67112443b8752742e2017f36a0ccca37d3a7d94ce8bbcc

Observation d383fc84-b5b1-410a-8e3a-4a5460733e73 · outbound

This paper cites Gross and A.

Graphical Functions by Examples Gross and A

Reference 30

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raw_fallback, observed 2026-05-27T03:03:27.060196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:6897ee2bb9ce5063f1e7eb116f9c771c1974dfbe80331595557ca403848ba865

Observation f7f14d50-a241-4f20-8ea0-bac07afe8759 · outbound

This paper cites Graphical functions with spin.

Graphical Functions by Examples Graphical functions with spin

Reference 31

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arxiv_id, observed 2026-05-12T00:11:15.377354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:d4b6e54c085c63a4ef64a6d463f15979c7e8ff41ae7a1e973a4cb4c5cfb0d4ae

Observation 70547359-550e-43b5-bf29-19642c2450ff · outbound

This paper cites Numbers and Functions in Quantum Field Theory.

Graphical Functions by Examples Numbers and Functions in Quantum Field Theory

Reference 32

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arxiv_id, observed 2026-05-12T00:11:15.056898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:2a6c7520bd395c847110ddd60b1e21917b6047c76db0be7430bba370a83d4eb0

Observation 9ccc3ec3-8595-4d90-98ea-28dc6e2bbf8a · outbound

This paper cites Kazakov,The method of uniqueness, a new powerful technique for multiloop calculations, Physics Letters B133(1983) 406.

Graphical Functions by Examples Kazakov,The method of uniqueness, a new powerful technique for multiloop calculations, Physics Letters B133(1983) 406

Reference 33

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raw_fallback, observed 2026-05-27T03:03:27.033561Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:43485bc36ac9d975a66657f2d0a652857a314193849c9811d4a6a881c089bd1f

Observation 0c2c0a45-eb34-4cee-ba22-6e03540ce480 · outbound

This paper cites Knots and Numbers in $\phi^4$ Theory to 7 Loops and Beyond.

Graphical Functions by Examples Knots and Numbers in $\phi^4$ Theory to 7 Loops and Beyond

Reference 34

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arxiv_id, observed 2026-05-12T00:11:15.046990Z

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No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:d49f4444e5288d3a123c5b45655c8842232370ae09168d4f34b55f48446d7f35

Observation a213157f-fdba-42c8-859a-8fe71feb06b1 · outbound

This paper cites Magic identities for conformal four-point integrals.

Graphical Functions by Examples Magic identities for conformal four-point integrals

Reference 35

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arxiv_id, observed 2026-05-12T00:11:15.037734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:993b85b2246cfe16b1c493bc9a86a9187be663741cdb87d2775fb0f95cfaaa27

Observation d45b5c88-1af5-4188-b18a-97847118f5e3 · outbound

This paper cites an unresolved cited work.

Graphical Functions by Examples Unresolved cited work

Reference 36

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raw_fallback, observed 2026-05-27T03:03:27.037752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:d1c373b375b7786b696fd19589deaa170cc4895dba7d53736152fbecb1501269

Observation f60c5be4-379b-4614-89b6-6227394fd8ff · outbound

This paper cites Schnetz,The five-twist identity for Feynman periods,2505.02578.

Graphical Functions by Examples Schnetz,The five-twist identity for Feynman periods,2505.02578

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.242904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:8923e2559155a8ad3704a8ff9c8602164c35633d814955617faff38e67569314

Observation 91bf2a2e-0af2-4aaa-a873-e3b2c343f03b · outbound

This paper cites Self-duality of massless scalar three-point amplitudes.

Graphical Functions by Examples Self-duality of massless scalar three-point amplitudes

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-05-12T00:11:15.308083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:b217aaceb6e6c457776e0ef1226192da6f9dc2916b51de0efe8fe4f3ae78fa28

Observation 3ce9bfe5-0a3a-4c38-8847-ff96a2c710c2 · outbound

This paper cites Hepp's bound for Feynman graphs and matroids.

Graphical Functions by Examples Hepp's bound for Feynman graphs and matroids

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.302417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:54df3bb77c9a0d95a0ee3139ad6e368d1a04e83840c359dbde7cfad39056c29b

Observation 976e2fb4-87e1-4e9e-84a4-14e3c7bdacab · outbound

This paper cites Panzer,HyperInt,https: // bitbucket.

Graphical Functions by Examples Panzer,HyperInt,https: // bitbucket

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T03:03:27.040298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:cf4f96bb388a421b64987c6fa842891673d24e0fc5d713668781016eefb4181d

Observation 92148efe-0dcb-4356-a274-72db137c96fc · outbound

This paper cites Kardos, S.

Graphical Functions by Examples Kardos, S

Reference 41

Resolution
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doi, observed 2026-05-09T02:19:38.741835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:df59090146bd85ed9970d8ca779eec390b122d4ad4446e7ca1e1a5fb8f04a54a

Observation 6b84444e-fe92-4be6-b0df-c640e61a6402 · outbound

This paper cites On the periods of some Feynman integrals.

Graphical Functions by Examples On the periods of some Feynman integrals

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.252171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:14ee4580af8d03dd1ce39b76104cc325a386d8e24024668bd185714295b1e3bb

Observation 10cba5fd-54a8-416a-80b7-8e27909b03ce · outbound

This paper cites Angles, scales and parametric renormalization.

Graphical Functions by Examples Angles, scales and parametric renormalization

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.066089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:806ebc5fc663ab8c4b53cf82d5e4bf529c5cd30d2b71f861f0b3e79b36e21a4e

Observation 122bde27-4cae-4ee6-88e3-a8297658bf07 · outbound

This paper cites On the Hopf algebra structure of perturbative quantum field theories.

Graphical Functions by Examples On the Hopf algebra structure of perturbative quantum field theories

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.385957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:6a810852b473be32fb8b80179b2d01317ab4a7b7b01797f5b5e31d06a142874c

Observation 721d8ac7-93b0-43e3-a642-dfeb723e71cd · outbound

This paper cites Renormalization in quantum field theory and the Riemann-Hilbert problem.

Graphical Functions by Examples Renormalization in quantum field theory and the Riemann-Hilbert problem

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-07-04T16:14:57.892616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:feaa1188d72133e4aa8bf8ff73eaada4c9e5e198a9a35fbbcaca68f56cdc2d79

Observation d341f47d-6e24-4b2b-a92d-c92729c0acdb · outbound

This paper cites Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem.

Graphical Functions by Examples Renormalization in quantum field theory and the Riemann-Hilbert problem I: the Hopf algebra structure of graphs and the main theorem

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.219137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:108aaf71f32f651a0e7814e62b19a01220512d5037c3bb39c9b3f4878829eb35

Observation f91c10c3-47fc-4fd9-aa36-54a6c1f73058 · outbound

This paper cites Hopf algebraic Renormalization of Kreimer's toy model.

Graphical Functions by Examples Hopf algebraic Renormalization of Kreimer's toy model

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.279340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:889ef6beeb49e473119b4bab1bf9512cbe17f7ff6f2646cd5fca79a05f33be04

Observation 40d0924a-46cc-4fe1-9ace-c47d99e01fb3 · outbound

This paper cites Combinatorics of (perturbative) quantum field theory.

Graphical Functions by Examples Combinatorics of (perturbative) quantum field theory

Reference 48

Resolution
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arxiv_id, observed 2026-07-04T16:21:03.867501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:bc55661598586239ddcf9bf1fb4b60183a1d683dcd20aa415759481049a3cc43

Observation dffa58ff-f2f8-44d7-8f5c-67b8f89bb85c · outbound

This paper cites Jiang,Notes on Fourier transform and its application to three-point momentum-space integrals,Phys.

Graphical Functions by Examples Jiang,Notes on Fourier transform and its application to three-point momentum-space integrals,Phys

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.333793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:8fab02eb1fad627a530f381914efa2e9d3a380999b3c761100714ac164ca10f3

Observation aadc54e9-4893-4946-927e-f201dcd589e8 · outbound

This paper cites Lectures on differential equations for Feynman integrals.

Graphical Functions by Examples Lectures on differential equations for Feynman integrals

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.207007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:b667f7fe3165f3436bf670a41f56f6c16e9596cf0cac9ef152405c482e78267f

Observation 97b6e0db-7ae4-41b6-b4cd-ded86b1baa59 · outbound

This paper cites Scattering Amplitudes in Quantum Field Theory.

Graphical Functions by Examples Scattering Amplitudes in Quantum Field Theory

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.352019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:f4e1c5163328612cc7f2c60e34ea78c5aaff744810e8a94c3edd6ff4e1ed33eb

Observation 7ee9e353-5a8c-4305-aa02-3fff119d9057 · outbound

This paper cites Smirnov,Evaluating Feynman integrals,Springer Tracts Mod.

Graphical Functions by Examples Smirnov,Evaluating Feynman integrals,Springer Tracts Mod

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-27T03:03:27.030671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:44fd0d7894bc37458f331f5a84a79707b48d273308e198bd70997d2f77ac0a7e

Observation 353c8669-129f-4a9a-b89b-7d949692d827 · outbound

This paper cites Mellin-Barnes Integrals: A Primer on Particle Physics Applications.

Graphical Functions by Examples Mellin-Barnes Integrals: A Primer on Particle Physics Applications

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.112135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:29db99f16973b2a5497db162502894ada7dfcc72fc7fd8b54d99472a88eb928a

Observation 1fdc313a-5c8a-4e38-bdaf-ad5c83e046eb · outbound

This paper cites Mathematical aspects of scattering amplitudes.

Graphical Functions by Examples Mathematical aspects of scattering amplitudes

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.341526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:a8dc21cf1c3d0afd8375bbce499d179b9a12febdc2c05c648e24948fe2708790

Observation f068adb7-aba2-4b3b-964b-5c95a572c418 · outbound

This paper cites Hopf algebras, from basics to applications to renormalization.

Graphical Functions by Examples Hopf algebras, from basics to applications to renormalization

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:11:15.188237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-07T15:43:38.415325Z digest=sha256:7562b0d029ea4bd747a77f0f9e4513a755ca1c0dd2c62c6420e5396573ea0610

Pith citing papers

Observation 431751ca-5ba7-45c8-990d-22fbab20d6ad · inbound

Notes on the bootstrap of four-point conformal integrals cites this paper.

Notes on the bootstrap of four-point conformal integrals Graphical Functions by Examples

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T06:54:14.228734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T06:54:14.228734Z digest=sha256:c536da3b605581a96cf1ee0fe3e0c56070a672311f1de074b6a210e63497f077