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Paper Citation Record · LEDGER

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass

As of 13 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2412.00793.

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

pith.paper-citation-record.v1
2412.00793 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:10:10.890522Z

measured 18 of 18 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T20:30:27.681708Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T20:35:02.663817Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98d7b1f5-b811-4ff2-8ff2-5e6f58d2b250 · outbound

This paper cites an unresolved cited work.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:10:11.208898Z

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=2026-08-12T05:10:10.805152Z digest=sha256:249f1fa1044cfd2a9917abb3daf2e78010bc002730f7deb5867ae21161c94c44

Observation c056c4ab-a075-4d9a-8ffd-ef7e4fce5531 · outbound

This paper cites an unresolved cited work.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:10:11.192436Z

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=2026-08-12T05:10:10.810933Z digest=sha256:6b9f491389b338563ebcf1a9ef0bdd6d82b948200848cfdf0f8c98412abdca51

Observation ca2b044a-5c18-4026-a1ad-7a397de5d63b · outbound

This paper cites an unresolved cited work.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:10:11.173596Z

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=2026-08-12T05:10:10.816050Z digest=sha256:a7ca701a01c785808acde730d0af4373d700bda9b43244ea16c8de79db7a28d6

Observation d310cc1e-2279-44fd-81ff-3d7cc9609cfa · outbound

This paper cites Jadach and Z.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Jadach and Z

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.155955Z

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=2026-08-12T05:10:10.821432Z digest=sha256:029ad017ec31aa06fbecb9b07b431f306cbeed64ffa4b99d20a6048eaead9e90

Observation 92fa5642-c10c-43d4-b478-46fa6b2ae7b7 · outbound

This paper cites Mastrolia, M.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Mastrolia, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.138855Z

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=2026-08-12T05:10:10.826599Z digest=sha256:cda6fed89f9d591cea1ddc3de7ac36ee5cd6c679974060e7b9a2d3a56642d322

Observation bda095f1-7fb9-4458-b47b-ff2d90f59111 · outbound

This paper cites Di Vita, S.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Di Vita, S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.120681Z

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=2026-08-12T05:10:10.831633Z digest=sha256:e2d371edaa7fb1d59f5137e56a7e5e0ede7a817c082f7f0aace47312a7535b7d

Observation 1c0f491a-e96b-4c14-84d6-bdbb0ff40bfa · outbound

This paper cites Master integrals for two-loop $C$-odd contribution to $e^+e^-\to \ell^+\ell^-$ process.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Master integrals for two-loop $C$-odd contribution to $e^+e^-\to \ell^+\ell^-$ process

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-12T05:10:11.027406Z

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=2026-08-12T05:10:10.837253Z digest=sha256:f704bf8c961a8fab41f58d6cc32a801cfad8313cf6cd7e203fdad127605706f2

Observation 5a65f6d9-6b20-4bc6-8d5d-1b1189afd3c8 · outbound

This paper cites Bonciani, A.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Bonciani, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.101104Z

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=2026-08-12T05:10:10.844128Z digest=sha256:d8f1ae95e9eca2da0389663c617be04c9bd84c309c880d5fc69ade4a55835b3e

Observation 3086892c-5f20-4016-81ec-2e4b2b9afc50 · outbound

This paper cites Master integrals for $e^{+}e^{-}\rightarrow2\gamma$ process at large energies and angles.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Master integrals for $e^{+}e^{-}\rightarrow2\gamma$ process at large energies and angles

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.850467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.850467Z digest=sha256:82569629e94fc8c4b00a3770f85ce3b4b9255ac78cd9bc667545e6e21e00e994

Observation fcfa462c-130e-4703-a698-4163a0bc9452 · outbound

This paper cites LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.855957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.855957Z digest=sha256:35c3b90e39565d4e7082f920df785dd5a97c18c82582ca97317cad99c95ce225

Observation 3393a824-261c-450d-9ea6-e33469750eac · outbound

This paper cites LiteRed2, essential update ofLiteRed package.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass LiteRed2, essential update ofLiteRed package

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.082959Z

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=2026-08-12T05:10:10.861214Z digest=sha256:33b460d2ffec38f38bf53d573873e1f72f49f0e312f2cb9915c169cf8d7f8ee7

Observation d7c1f8d0-b015-420c-938e-8ff00ef76518 · outbound

This paper cites Libra: a package for transformation of differential systems for multiloop integrals.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Libra: a package for transformation of differential systems for multiloop integrals

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.867246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.867246Z digest=sha256:412b01cd0413df22a000718beb125186242ab2057c622e9fc32da8329daa9f18

Observation e4ee15c4-913b-421e-9e0b-b11b1df27c90 · outbound

This paper cites Libra, package for transforming first-order linear differential systems.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Libra, package for transforming first-order linear differential systems

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.063425Z

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=2026-08-12T05:10:10.872976Z digest=sha256:6aec61022d4459b2417fe28cbe7b43f91b209075082ec1fce7dfc660c71e120a

Observation 39949ffa-3def-4fbc-ae29-f7c5b7434525 · outbound

This paper cites Solving differential equations for Feynman integrals by expansions near singular points.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Solving differential equations for Feynman integrals by expansions near singular points

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.878675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.878675Z digest=sha256:3e86a74535ea9d26c83d8b5721158d752b92f986cbb76b356baace86683e4e21

Observation b6f38c31-f8c0-4cf5-87cc-b9f90ffadf09 · outbound

This paper cites Computer Algebra System Fermat.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass Computer Algebra System Fermat

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:10:11.045316Z

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=2026-08-12T05:10:10.884602Z digest=sha256:c092f46c9907676635707943dc871bded0c994b83531d3ff992e189c43d7ce62

Observation d2901e67-e227-40cb-b5be-164b29a666aa · outbound

This paper cites FIESTA5: numerical high-performance Feynman integral evaluation.

Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass FIESTA5: numerical high-performance Feynman integral evaluation

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T05:10:10.890522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:10:10.890522Z digest=sha256:aab965bc630e70c236e438fd346be37d84d71fc1f2ea6033aedd8c115bd36e6b

Pith citing papers

Observation 1bb2ed1c-f7d6-41fa-8e33-fde27faadc73 · inbound

Radiative correction to the charge asymmetry in $e^{+}e^{-}\to\mu^{+}\mu^{-}$ process cites this paper.

Radiative correction to the charge asymmetry in $e^{+}e^{-}\to\mu^{+}\mu^{-}$ process Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-06-30T20:35:02.665395Z

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=2026-06-30T20:30:27.681708Z digest=sha256:787040ee6af5e20a00b4335ac317a8668bba8ec00e28ac01c67f539d01799756

Observation c1718659-6e0f-4e91-b2c1-4ee11442d28e · inbound

Analytic two-loop electroweak corrections at high energies cites this paper.

Analytic two-loop electroweak corrections at high energies Two-loop master integrals for $e^{+}e^{-}\rightarrow\mu^+\mu^-$ process with account of electron mass

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-06-30T09:44:37.807111Z

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=2026-06-30T09:37:29.571085Z digest=sha256:e1aee2d6ca8a67c891a57cd48e98fb2ea6e8b617c2e5e2b2bfdb9820f41bdb17