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Paper Citation Record · LEDGER

Note on differential operators, CHY integrands, and unifying relations for amplitudes

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:1808.06835.

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

pith.paper-citation-record.v1
1808.06835 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 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 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:21:54.430983Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-24T14:36:13.237844Z

Reference resolution

0 of 0 outbound references displayed

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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 e578d20c-b231-4acf-ac7c-dece9f6979a1 · inbound

Shift symmetries, soft limits, and the double copy beyond leading order cites this paper.

Shift symmetries, soft limits, and the double copy beyond leading order Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T12:21:54.430983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:21:54.430983Z digest=sha256:0cceff695b3fda63bb95b031ba09efc0e0737b7ea6f1e17cdbaf32ccb9264ad8

Observation cf48d11f-69ed-48ba-9ed4-9bd679ccb2f3 · inbound

Unified web for expansions of amplitudes cites this paper.

Unified web for expansions of amplitudes Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T10:55:20.626306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:55:20.626306Z digest=sha256:5a39419086c5238362fdd88e8253d7d5be6cf49b017a8fb63a4149587c4c13fb

Observation 1405c7ea-3535-48e2-b3a3-53d7809da96d · inbound

Transmuting off-shell CHY integrals in the double-cover framework cites this paper.

Transmuting off-shell CHY integrals in the double-cover framework Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-05-24T14:36:13.240087Z

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=2026-05-24T14:35:53.021295Z digest=sha256:df1da44b819efcd6be88255e98899fdaab341b4d9116067334bbe98cc051348c

Observation f6fc86cb-75bb-4ac8-9bde-23766b8bfdda · inbound

On differential operators and unifying relations for $1$-loop Feynman integrands cites this paper.

On differential operators and unifying relations for $1$-loop Feynman integrands Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-05-24T12:24:27.766238Z

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=2026-05-24T12:19:40.168298Z digest=sha256:3e483abf662f72471f9a7db54c04082589199188cdd61349afef19b79cb15269

Observation e8ea7295-e8c6-42e4-b2fa-ea1230fe111a · inbound

Transmutation operators and expansions for $1$-loop Feynman integrands cites this paper.

Transmutation operators and expansions for $1$-loop Feynman integrands Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 11

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verified exact
local_arxiv, observed 2026-05-24T12:24:27.712937Z

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=2026-05-24T12:21:23.039081Z digest=sha256:e73a79999f53c29891e77aa982f890bac89a5ff729e28e3cf60c0711701d2342

Observation b0c7b2c5-1311-4e2c-aa2b-a80f5614185f · inbound

Expanding single trace YMS amplitudes with gauge invariant coefficients cites this paper.

Expanding single trace YMS amplitudes with gauge invariant coefficients Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-05-24T08:24:11.070473Z

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=2026-05-24T08:23:18.115204Z digest=sha256:7b19fd44118d1f5a5826533a7d4cae4b5314c9f449471f2f553d4db810cdcb5f

Observation 8318652f-1470-447f-ad3d-df14c02d4085 · inbound

New recursive construction for tree NLSM and SG amplitudes, and new understanding of enhanced Adler zero cites this paper.

New recursive construction for tree NLSM and SG amplitudes, and new understanding of enhanced Adler zero Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-05-24T06:54:03.114057Z

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=2026-05-24T06:53:37.997999Z digest=sha256:2c776ef7ccc9208acd6f622b5f3e279277ab8ccb794144b14290d68d06816795

Observation 3bba0c4b-42a4-4fc8-8336-43aa42e0c424 · inbound

Recursive construction for expansions of tree Yang-Mills amplitudes from soft theorem cites this paper.

Recursive construction for expansions of tree Yang-Mills amplitudes from soft theorem Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 15

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verified exact
local_arxiv, observed 2026-05-24T06:06:01.452875Z

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=2026-05-24T06:05:55.584127Z digest=sha256:19dae2a8014d5439bc452540a694ccd101d2ecb2a97762c546e9521a682636d2

Observation dbfbce6b-eb79-4163-b6d0-ea8ada925216 · inbound

Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions cites this paper.

Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-05-24T00:38:40.164945Z

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=2026-05-24T00:36:01.905921Z digest=sha256:931c72dc3b0b74df464e0c5d13bde2301ea552b0fa56ba20ac12b01b5683af28

Observation ff444767-533e-4b72-a126-62af3fee6cf6 · inbound

Constructing tree amplitudes of scalar EFT from double soft theorem cites this paper.

Constructing tree amplitudes of scalar EFT from double soft theorem Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-05-24T00:23:40.002452Z

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=2026-05-24T00:18:46.073981Z digest=sha256:10d6a19daf787a60d65c3e1f11289122013d91a0612085e378aee317b4193f5b

Observation 1ec35215-5745-47cc-b8c7-1d1634d85c45 · inbound

On soft factors and transmutation operators cites this paper.

On soft factors and transmutation operators Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-05-24T00:03:39.108218Z

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=2026-05-24T00:01:41.612336Z digest=sha256:767aa551104ffb78c5d84c7fb97d81665ed14b113db4b7c515a21828ae44282e

Observation e2ba6f52-48a2-4c48-9ed5-f412f8257206 · inbound

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams cites this paper.

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-05-23T17:53:19.306069Z

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=2026-05-23T17:48:22.572396Z digest=sha256:2e0b9c3386f21f36e3e8ff9dcd4bd6706a8f95cb57e929ac30462e9dfee9c122

Observation a3971db8-03fc-4b02-ba4c-0db47e18130b · inbound

$2$-split from Feynman diagrams and Expansions cites this paper.

$2$-split from Feynman diagrams and Expansions Note on differential operators, CHY integrands, and unifying relations for amplitudes

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-05-18T21:06:50.592107Z

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.

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