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Paper Citation Record · LEDGER

Note on real and imaginary parts of harmonic quasiregular mappings

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2506.04618.

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

pith.paper-citation-record.v1
2506.04618 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:52:07.575916Z

measured 16 of 16 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

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 exact3
  • verified fuzzy4
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 599db2b4-e2bd-4003-b7b2-511332f6a8d4 · outbound

This paper cites Astala and P.

Note on real and imaginary parts of harmonic quasiregular mappings Astala and P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:07.944040Z

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=2026-08-07T10:52:07.528776Z digest=sha256:0f05fd428322f8b55c76017262a491944e92626dca976c0e40d467061247169b

Observation 67107d3c-e6e9-4fb3-9c38-cdc9648bf62e · outbound

This paper cites Sharp Riesz conjugate functions theorems for quasiregular mappings.

Note on real and imaginary parts of harmonic quasiregular mappings Sharp Riesz conjugate functions theorems for quasiregular mappings

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:52:07.825274Z

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=2026-08-07T10:52:07.532806Z digest=sha256:f3ab85cb9b741dd1e5981a2de015f034e5cc5158e9a0a36fafab7a03a0971bd9

Observation 475424a5-3c8a-4efe-a7b1-aab0a06b1e12 · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:52:07.809841Z

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=2026-08-07T10:52:07.537105Z digest=sha256:b25c1ce1ee075b2811c745fd26e36a66a163e0de9e1e60f54b6a9fb2806ed3f4

Observation 0cdf62d9-64f2-4b6a-ba5e-1cfc29b3224c · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.933761Z

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=2026-08-07T10:52:07.539951Z digest=sha256:757fede0401e9f9c128ff51367616042282cb39dca09e2d3082cfa894bb9c693

Observation 1fe9893c-c6df-4e95-9de0-0ec0e3afaab0 · outbound

This paper cites Das and A.

Note on real and imaginary parts of harmonic quasiregular mappings Das and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:07.924719Z

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=2026-08-07T10:52:07.544026Z digest=sha256:23df219b1ab6989744bbed6dd4b82519e9ef2f52e3fd0b7a24f6bfa4487b5433

Observation 6f8c4122-918b-41ea-9f9e-c3374a5de695 · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.915921Z

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=2026-08-07T10:52:07.547689Z digest=sha256:c19f28c732c2e4c82198ef318d6356b4882ff40964b00671b189f2f54662fd88

Observation 8c0e9b21-34ec-4098-88cc-3b24480c05b4 · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.905996Z

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=2026-08-07T10:52:07.551324Z digest=sha256:f2a141d75c0c5151d8bdcccae248d9eabe5174a53a062b3e7a0e9b6388012fd6

Observation 357e02c5-72c2-4c23-b966-80201bf903ef · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.896799Z

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=2026-08-07T10:52:07.555197Z digest=sha256:409d780a7edda80c5269f2aafc67658f6aa94b5dd3cd5cbc347dcd934253716c

Observation 4174ef30-1e24-45c2-8fed-7c64e73a8acf · outbound

This paper cites Hariri, R.

Note on real and imaginary parts of harmonic quasiregular mappings Hariri, R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:07.887337Z

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=2026-08-07T10:52:07.557732Z digest=sha256:9793b251d6700af4cd87cf5ceb0f6a2b0c4d52ee53931eb692c50cfc680adbe0

Observation 55942328-f4b7-4706-a4a0-19c9867c97ff · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.877347Z

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=2026-08-07T10:52:07.560334Z digest=sha256:786c3b61e54a30a3cd6050c2dcc4e57b32b2414e85d268798a6dfd062ab0934b

Observation 818c2760-f59c-49ac-ba88-abc5dda67de1 · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.868545Z

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=2026-08-07T10:52:07.563240Z digest=sha256:73b84c7f419964abbebb4417ab75a6bc8dbc71093a841e833388dcebb3e8298d

Observation 763e0d1d-337f-43d5-9fea-1c559843287c · outbound

This paper cites Li and S.

Note on real and imaginary parts of harmonic quasiregular mappings Li and S

Reference 12

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:52:07.739555Z

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=2026-08-07T10:52:07.565759Z digest=sha256:2486c89744d8a54aa611e71b099daa6949df1281250fd57fac488426fe0f8c47

Observation d6b549c6-69f6-4ce4-a8dc-9c152cf612fa · outbound

This paper cites Liu and J.-F.

Note on real and imaginary parts of harmonic quasiregular mappings Liu and J.-F

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:52:07.857854Z

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=2026-08-07T10:52:07.568671Z digest=sha256:e56c42977d7862913a9d94600f3b65afcd25b91811659b56511a15305a0af3bc

Observation 7fd4ebb7-0939-4959-a5a7-8f816f31948a · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.848010Z

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=2026-08-07T10:52:07.571088Z digest=sha256:d77b1d045624c30e156caf5c5d0626e15cc7a732c8b86c1d0dad2bbf25aebcb8

Observation 07693657-e1ac-4680-b089-dd74b38be0ce · outbound

This paper cites an unresolved cited work.

Note on real and imaginary parts of harmonic quasiregular mappings Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:52:07.837967Z

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=2026-08-07T10:52:07.573583Z digest=sha256:cd3b7b1e981bb61ecef968cf7c04af5277e1176cfc4addaabe59397315b39d5e

Observation 32f3d87d-57a8-43d5-b837-a5ecfa8f9943 · outbound

This paper cites Wang, X.-Y.

Note on real and imaginary parts of harmonic quasiregular mappings Wang, X.-Y

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T10:52:07.575916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:52:07.575916Z digest=sha256:8462be1c6c5a485045b9068bd88f623bfcea2261f5f0558ead77846dfb04e52c

Pith citing papers

No inbound Pith citation observations are available.