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Paper Citation Record · LEDGER

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory

As of 17 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:1908.07177.

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

pith.paper-citation-record.v1
1908.07177 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:29:50.643835Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:49:09.383986Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 353520e8-0f58-47c0-8eb4-18183c1cd544 · outbound

This paper cites Analytic Construction of Multi-brane Solutions in Cubic String Field Theory for Any Brane Number.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Analytic Construction of Multi-brane Solutions in Cubic String Field Theory for Any Brane Number

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:29:50.833963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T12:29:50.587776Z digest=sha256:ab13bfb75cd74dce235de2591589fca571aaefc1c79515f2cdf4867a4eaa76f3

Observation 8c1b1ca7-b899-4572-93ce-cdc112ddc586 · outbound

This paper cites Noncommutative Geometry and String Field Theory,.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Noncommutative Geometry and String Field Theory,

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.592410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.592410Z digest=sha256:60c716fa0562fa233a02c3acab82dc258cf631a6ec4afa18fa8822180d07f9b7

Observation 5e056931-95d3-4c9a-b251-365180053808 · outbound

This paper cites Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Comments on Schnabl's analytic solution for tachyon condensation in Witten's open string field theory

Reference 3

Resolution
malformed identifier
no resolver link, observed 2026-08-14T12:29:50.595766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.595766Z digest=sha256:324e139b65b14ed2c57c40c3243aebaa941a2fea09158405ab227570cfbdfa87

Observation 5234037c-6900-44f1-a514-816ea1288818 · outbound

This paper cites String Field Theory Solution for Any Open String Background.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory String Field Theory Solution for Any Open String Background

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.601026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.601026Z digest=sha256:a4dc4f09aa24046ceb8bda2715fb6f75c240ebbec26dc189eac7313c3427b89a

Observation ff94bf6b-0028-468a-a3ea-ef3ed4a6c3a7 · outbound

This paper cites A Simple Analytic Solution for Tachyon Con densation,.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory A Simple Analytic Solution for Tachyon Con densation,

Reference 5

Resolution
verified exact
doi, observed 2026-08-14T12:29:50.669163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T12:29:50.604974Z digest=sha256:2c8758ef2367e21a6a7e110fa62db4b444d8616a8b35cf51a057021d1ce3c562

Observation 320f040c-73fc-4f56-abec-f4d5d7b68344 · outbound

This paper cites On Multibrane Solutions in Open String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory On Multibrane Solutions in Open String Field Theory

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.608365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.608365Z digest=sha256:36d5e62033879d53e216282bf729fc4866194fcf08cce63526c0e718d90bde95

Observation a8bc5298-cbf5-43e2-853b-b9de3f0c6d0d · outbound

This paper cites Winding Number in String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Winding Number in String Field Theory

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.612208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.612208Z digest=sha256:47bea755161bca6aa2462c1ed5f9674cfed093955f5fc94ff389a6dee353d8d0

Observation 6bf0e4fd-f3c0-451a-885b-bc1b08f63db0 · outbound

This paper cites Multibrane Solutions in Open String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Multibrane Solutions in Open String Field Theory

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.615483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.615483Z digest=sha256:486278bb6618da58f722dcc5d156bf03c22f63db7aae316d1a284c2f15a606c0

Observation c38149ed-8b48-490c-b017-75d15acad9af · outbound

This paper cites Singularities in K-space and Multi-brane Solutions in Cubic String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Singularities in K-space and Multi-brane Solutions in Cubic String Field Theory

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:29:50.771086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T12:29:50.619286Z digest=sha256:d73011415c146a2c128b61d7751936f9994a44bf798f2f8aadb1e6bf962c9135

Observation edc78cca-a755-440b-9b4e-1c7bd99372e2 · outbound

This paper cites Analytic solution for tachyon condensation in open string field theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Analytic solution for tachyon condensation in open string field theory

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.623152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.623152Z digest=sha256:2c64397071d8f2a47a84e02ef6805b6b8eb3b96e2b9e774efaa6356c64107f38

Observation 3e9ecdff-9eb5-438d-8137-eb354315b465 · outbound

This paper cites Observables of String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Observables of String Field Theory

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.626448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.626448Z digest=sha256:33b26a8b420823a35100c8427e747d7ee51463163f22db720c0288ce0f121a92

Observation 3556b9c7-bf07-4b52-85aa-bbc17f672d81 · outbound

This paper cites Ghost Structure and Closed Strings in Vacuum String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Ghost Structure and Closed Strings in Vacuum String Field Theory

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.631038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.631038Z digest=sha256:86f99f6eddf39a8c8965879cc7ab4f96f71ceecd4ac71828fd8f6341108ff662

Observation 51eada20-0323-4b48-93a7-afc6cc758c29 · outbound

This paper cites The closed string tadpole in open string field theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory The closed string tadpole in open string field theory

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.634479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.634479Z digest=sha256:298ccdd867a778c774797c23f2ee7ee867c24f0eb3554e831ce07521ae23dda0

Observation cd01ca35-0871-43d7-aab4-d426ab3e8abc · outbound

This paper cites Gauge Invariant Overlaps for Classical Solutions in Open String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Gauge Invariant Overlaps for Classical Solutions in Open String Field Theory

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T12:29:50.637545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:29:50.637545Z digest=sha256:d43e92b16437f42c133f0e1b3e7f574af15b6bd32440b22e210e8f6fc4c59a0e

Observation c64d2fb5-45fc-48b6-96dd-51db31344ed4 · outbound

This paper cites Inversion Symmetry of Gravitational Coupling in Cubic String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory Inversion Symmetry of Gravitational Coupling in Cubic String Field Theory

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:29:50.709260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T12:29:50.640674Z digest=sha256:9dfccffa94e37ba434dee065ccbcb4a74e1541b298e43e8d621455faff6f403d

Observation e9eccbd2-860e-4f3a-9aca-1a47d09670db · outbound

This paper cites BV Analysis of Tachyon Fluctuation around Multi-brane Solutions in Cubic String Field Theory.

Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory BV Analysis of Tachyon Fluctuation around Multi-brane Solutions in Cubic String Field Theory

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:29:50.694930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T12:29:50.643835Z digest=sha256:16f9c477298a63ec221507b3083705bb9c2491a601676ca49bf99d76761f867d

Pith citing papers

Observation 5b2cba14-7444-4450-a6b2-8dd58c1bd60d · inbound

Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant cites this paper.

Singular field redefinition between Witten's string field theory and Witten's theory deformed by Ellwood invariant Bernoulli Numbers and Multi-brane Solutions in Cubic String Field Theory

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T07:49:09.383986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T07:49:09.383986Z digest=sha256:369b6d9ba4969e7bb4d979fd09cdd859d7d0682e2f7114b4cf3218547d5667a8