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Paper Citation Record · LEDGER

Vacuum amplitudes and time-like causal unitary in the loop-tree duality

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2404.05492.

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

pith.paper-citation-record.v1
2404.05492 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:32:18.987630Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T00:26:24.045684Z

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 eba321f1-5f5d-4af8-b921-8e4c665914ae · inbound

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist cites this paper.

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist Vacuum amplitudes and time-like causal unitary in the loop-tree duality

Reference 129

Resolution
verified exact
arxiv_id, observed 2026-05-22T20:25:05.839594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T20:22:04.904940Z digest=sha256:a7ab5d5f493299dacb43abff449eb17ec4400d16b39bd2a3fccc26348d98bd44

Observation 64b28985-6c97-43d8-bfa4-1c9abde8e11d · inbound

Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering cites this paper.

Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering Vacuum amplitudes and time-like causal unitary in the loop-tree duality

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-15T19:32:18.987630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:32:18.987630Z digest=sha256:c5f246f89a1b6b53adcc27986e90f9447738ab1767fe1304d7a0c6ac71aa0977

Observation e5c73690-8db3-40b1-b113-44ab1d1e61a5 · inbound

Unlocking Multidimensional Integration with Quantum Adaptive Importance Sampling cites this paper.

Unlocking Multidimensional Integration with Quantum Adaptive Importance Sampling Vacuum amplitudes and time-like causal unitary in the loop-tree duality

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-15T18:29:38.502415Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:29:38.502415Z digest=sha256:ee8117a7ac816a2dd3d00482d6e98a0e5ee8992e196d91ae94d47769b2592473

Observation 3b17b833-5cf7-43f6-ba58-eed59132fe52 · 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 $\boldsymbol{g}^{\boldsymbol{6}}$ Vacuum amplitudes and time-like causal unitary in the loop-tree duality

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-07-02T00:26:24.048034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T13:23:45.905526Z digest=sha256:d68a2c575905e4b8760bd25dfa8b6bd8e04ebc0af0c98d1ccc6e336b6493cfe3