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Paper Citation Record · LEDGER

Manifestly Causal Loop-Tree Duality

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2009.05509.

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

pith.paper-citation-record.v1
2009.05509 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:56:41.394047Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:26:24.057278Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9d7f5528-428a-4145-ab13-bbba4cc315ca · inbound

Cosmological phase transitions without high-temperature expansions cites this paper.

Cosmological phase transitions without high-temperature expansions Manifestly Causal Loop-Tree Duality

Reference 117

Resolution
unresolved
no resolver link, observed 2026-08-06T18:56:41.394047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:56:41.394047Z digest=sha256:731370916eec56cf7c1de1dfba2816aa69a23e5ad26ded8f48c33aeba04e0837

Observation 1bf9ec82-f505-484e-8841-ba24081f7250 · inbound

General finite two-loop amplitude integrand for photoproduction in quark annihilation cites this paper.

General finite two-loop amplitude integrand for photoproduction in quark annihilation Manifestly Causal Loop-Tree Duality

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-04T21:50:30.337929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:50:30.337929Z digest=sha256:ae558b2398030ddbf9e5549c386a37e43477aa9404d16b23bdf79c633d6bcac8

Observation c16a24ff-79cf-4919-8ef5-783e0e39c0e0 · inbound

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$ cites this paper.

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$ Manifestly Causal Loop-Tree Duality

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:26:24.059455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T13:23:45.905526Z digest=sha256:fe181fe554904118aa85847c6076868692885d818b57d04baf137a7ebb4f9d6c