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Paper Citation Record · LEDGER

Local expansion properties of paracontrolled systems

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2412.12670.

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

pith.paper-citation-record.v1
2412.12670 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:59:38.926037Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:31:44.034342Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T12:31:44.551198Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36308aed-f496-4c63-961e-6d89827575c8 · outbound

This paper cites and Bernicot F.

Local expansion properties of paracontrolled systems and Bernicot F

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.074647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.887817Z digest=sha256:ce2b4c552da8ab501f28572df0b2dfd21f5c234e691fa20824ae4490a899aaf5

Observation ec55193c-918b-4f53-b7db-061982c697a8 · outbound

This paper cites Formalizing line editors in Coq.

Local expansion properties of paracontrolled systems Formalizing line editors in Coq

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-11T13:59:38.969820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.891955Z digest=sha256:01236d049f1c89fa5fe4e3f11b73b0459e46f6f02417c33bf39b4fa86c2dec4b

Observation 5103a097-620b-4c74-adf4-ccd36c3e23f0 · outbound

This paper cites and Hoshino M.

Local expansion properties of paracontrolled systems and Hoshino M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.062340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.895858Z digest=sha256:6ec62daa68918a57c8f45d026283d71da47d5b3978b75f536942be9a9daa49c3

Observation 64e31d67-5fa7-4c04-87b5-3c07bbe7e946 · outbound

This paper cites and Hoshino M., Paracontrolled calculus and regularity structures II.

Local expansion properties of paracontrolled systems and Hoshino M., Paracontrolled calculus and regularity structures II

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.051392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.899537Z digest=sha256:e6ce0ad8413b9700d74004dea73d3a3e28956c6a116c830ed512549831b508ac

Observation 9ae95724-797a-41f7-9646-ca3c3cda183d · outbound

This paper cites and Mouzard A.

Local expansion properties of paracontrolled systems and Mouzard A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.041470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.903148Z digest=sha256:7f318db1f0efa13555e462d1b90a68a28ee68033d6ee62db921e9cfa5ec3f77f

Observation 3aca7252-bd66-441e-ad7a-281676c6e4a5 · outbound

This paper cites and Perkowski N., Paracontrolled distributions and singular PDEs.

Local expansion properties of paracontrolled systems and Perkowski N., Paracontrolled distributions and singular PDEs

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.028927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.907282Z digest=sha256:e86131b31b586e264a52d47b6b04c2a7c20f73ff5675b01405c20f085f102369

Observation 5dd1a5fb-d142-4478-a820-24fcfbd2a967 · outbound

This paper cites , A theory of regularity structures.

Local expansion properties of paracontrolled systems , A theory of regularity structures

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.017736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.911162Z digest=sha256:af8973f7392790a65c13b7f4c7db11874a38e2fbb663a310ac575195145125dc

Observation a274f459-c72f-4dd9-b08a-61c243fd45af · outbound

This paper cites and Kelly D., Geometric versus non-geometric rough paths.

Local expansion properties of paracontrolled systems and Kelly D., Geometric versus non-geometric rough paths

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:39.005441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.914596Z digest=sha256:2d9255a6ba71a8333eaf108b43333eb74ed5a30c04ac49239ef58621581b2542

Observation 67254b30-cb01-474a-b548-f3c710a947ea · outbound

This paper cites , Iterated paraproducts and iterated commutator estimates i n Besov spaces.

Local expansion properties of paracontrolled systems , Iterated paraproducts and iterated commutator estimates i n Besov spaces

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:38.993441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.917897Z digest=sha256:a7b9072e445341b242f3eea2748dae65c960b91b245da78aa34dbb376c73f511

Observation bdede839-958e-40a7-92b6-af35a037373e · outbound

This paper cites , Commutator estimates from a viewpoints of regularity struc tures.

Local expansion properties of paracontrolled systems , Commutator estimates from a viewpoints of regularity struc tures

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:59:38.981791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T13:59:38.921836Z digest=sha256:ced6f105a04c84265f038800eea41201f930be1fe176b6fe24e47a2ac36d5a6f

Observation 59917a2e-d410-421f-8e40-abc6b9b543cc · outbound

This paper cites A note on the Taylor estimates of iterated paraproducts.

Local expansion properties of paracontrolled systems A note on the Taylor estimates of iterated paraproducts

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T13:59:38.926037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:59:38.926037Z digest=sha256:86151844a538cf6c6bb00506ccef94ab4812482454485a15a4dae1776edf46de

Pith citing papers

Observation 368da30e-98f6-4cbf-9cbb-89ee01452300 · inbound

A general paracontrolled ansatz for singular SPDEs cites this paper.

A general paracontrolled ansatz for singular SPDEs Local expansion properties of paracontrolled systems

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:31:44.555204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:31:44.034342Z digest=sha256:c2c9f9f53d06ef89d3940c1dddccb526d51ffbf83f6642cc21240e803c18741a