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Paper Citation Record · LEDGER

Continuum models of directed polymers on disordered diamond fractals in the critical case

As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:1908.07120.

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

pith.paper-citation-record.v1
1908.07120 v3

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:33:32.870404Z

measured 23 of 23 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:47:51.389347Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T11:58:21.543071Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact4
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e1ba577e-437a-4e21-b286-5699f082fa7a · outbound

This paper cites Alberts, J.

Continuum models of directed polymers on disordered diamond fractals in the critical case Alberts, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:34.118338Z

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=2026-08-14T12:33:32.339756Z digest=sha256:3b28813e9f437014f8dc6438bea955b40fd6a806089e7d5e26563d7af3c5d06d

Observation a9fa0a3c-2f8d-42bb-a6b5-c25e472835a4 · outbound

This paper cites Alberts, K.

Continuum models of directed polymers on disordered diamond fractals in the critical case Alberts, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:34.040891Z

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=2026-08-14T12:33:32.344682Z digest=sha256:9ca0d1498e6c29e3677ec698c2cc7fbbf42c249b93548fd94dfbb8389a73eb4a

Observation 8699ad1a-0f87-48ef-8a74-e0126ca05342 · outbound

This paper cites Alberts, K.

Continuum models of directed polymers on disordered diamond fractals in the critical case Alberts, K

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T12:33:32.349026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:33:32.349026Z digest=sha256:27e3ca3aa3faa246cbe7ce9d0865a78ca107c27b85c50490cdbf1cc18ec288c4

Observation c6be6ce1-0ab1-451f-ba30-8519f6f061eb · outbound

This paper cites Caravenna, R.

Continuum models of directed polymers on disordered diamond fractals in the critical case Caravenna, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.941500Z

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=2026-08-14T12:33:32.353911Z digest=sha256:3b61cdbcfa7727ba4b121cb472dbc6874788bfef9c56146c4d7a4d0d70e2b7b5

Observation 89e66e77-4c6d-41ff-b7df-769397288e37 · outbound

This paper cites Caravenna, R.

Continuum models of directed polymers on disordered diamond fractals in the critical case Caravenna, R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.928648Z

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=2026-08-14T12:33:32.357283Z digest=sha256:c1b0e4e6023e521ad620e91b74a0e4b5785458a1ac32aa89dc2736c598d1a926

Observation 5b2adc13-4218-48da-8f49-37e07183b28d · outbound

This paper cites The Dickman subordinator, renewal theorems, and disordered systems.

Continuum models of directed polymers on disordered diamond fractals in the critical case The Dickman subordinator, renewal theorems, and disordered systems

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:33:33.503316Z

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=2026-08-14T12:33:32.360920Z digest=sha256:7cc0aac5b03b9f31fc90816d15897c6948225aad44e542f9362ca9fb081731bd

Observation 2b47983a-7dd9-49e3-849a-9409213c1087 · outbound

This paper cites Scaling limits of disordered systems and disorder relevance.

Continuum models of directed polymers on disordered diamond fractals in the critical case Scaling limits of disordered systems and disorder relevance

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:33:33.397024Z

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=2026-08-14T12:33:32.365065Z digest=sha256:585546ec435af17baaf062cdfd436e932c9013b718ba7342070d9bd5f0115d29

Observation c6f52da7-19df-4b5b-9b6f-846f816b46ca · outbound

This paper cites Caravenna, R.

Continuum models of directed polymers on disordered diamond fractals in the critical case Caravenna, R

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T12:33:32.458832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:33:32.458832Z digest=sha256:cd321dee6c7b18dbe34a94dd20e5127f15eda7808b062b34d790fd0bf150ca18

Observation cf0f2940-2980-4230-9c85-5dfde924df8e · outbound

This paper cites Clark: High-temperature scaling limit for directed polymer on a hierarchical lattice with bond disorder, J.

Continuum models of directed polymers on disordered diamond fractals in the critical case Clark: High-temperature scaling limit for directed polymer on a hierarchical lattice with bond disorder, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.891757Z

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=2026-08-14T12:33:32.563979Z digest=sha256:c1749a1d3b3a8641c07e2e9932711c9eeca594718189a57566e08d7a2f546abe

Observation 27076a75-920f-479a-91e1-66ab7021ec30 · outbound

This paper cites an unresolved cited work.

Continuum models of directed polymers on disordered diamond fractals in the critical case Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T12:33:32.569729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:33:32.569729Z digest=sha256:5333872d3eacdf510fabbc824177bf8da0ce6b569b2df13128b2ef8d91da0cf5

Observation bcfd639e-c026-4237-a640-b7ece2abe4f2 · outbound

This paper cites Weak-disorder limit at criticality for directed polymers on hierarchical graphs.

Continuum models of directed polymers on disordered diamond fractals in the critical case Weak-disorder limit at criticality for directed polymers on hierarchical graphs

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-14T12:33:32.574138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:33:32.574138Z digest=sha256:1b8a0994ad399694392dd20502177529e2009faed0544586ed6bf404ed07d235

Observation 5bef140f-567f-4b6b-9e13-0757f70d466f · outbound

This paper cites The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal.

Continuum models of directed polymers on disordered diamond fractals in the critical case The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:33:33.277122Z

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=2026-08-14T12:33:32.580600Z digest=sha256:76974a5a5adf6fc3b968793695998be633212cd352d73c7a01c4846670decbf0

Observation a5c77c01-6870-49ae-9ede-601a31fd8f31 · outbound

This paper cites Hausdorff: Dimension und ueres Ma , Math.

Continuum models of directed polymers on disordered diamond fractals in the critical case Hausdorff: Dimension und ueres Ma , Math

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.878983Z

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=2026-08-14T12:33:32.585972Z digest=sha256:b9df1ad9ad1145d6b46df7c44caf2110c30be5fc1f034add7c73ccc02d543ef3

Observation 5d79a6b1-85fe-492e-9bdc-52d96f9d2034 · outbound

This paper cites Giacomin: Disorder and Critical Phenomena through Basic Probability Models , Lecture Notes in Mathematics Vol.

Continuum models of directed polymers on disordered diamond fractals in the critical case Giacomin: Disorder and Critical Phenomena through Basic Probability Models , Lecture Notes in Mathematics Vol

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.837670Z

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=2026-08-14T12:33:32.613891Z digest=sha256:32978438c4948e79b095d423d9d429e556a4810f87e40e2d81691cb874a38cf6

Observation 35692833-250c-417b-a316-d81ccc3fd8f0 · outbound

This paper cites Moments of the 2D SHE at criticality.

Continuum models of directed polymers on disordered diamond fractals in the critical case Moments of the 2D SHE at criticality

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T12:33:32.699481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:33:32.699481Z digest=sha256:8af3ef864e33b543498447b7f6b469e4b0f3def482db3ce61fee8ff12ef57443

Observation 9f514fc4-c010-4f68-b131-5d88624b16c5 · outbound

This paper cites Hambly, T.

Continuum models of directed polymers on disordered diamond fractals in the critical case Hambly, T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.662004Z

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=2026-08-14T12:33:32.732271Z digest=sha256:5acb1a3ab0852383ca61be7630b4e4ce7773e6f372d0fc126b293e7da7b0ff8e

Observation c02577e2-79f2-4d35-9b66-871ab8ebf718 · outbound

This paper cites Molter, E.

Continuum models of directed polymers on disordered diamond fractals in the critical case Molter, E

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.647395Z

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=2026-08-14T12:33:32.738196Z digest=sha256:2a0c56d01c27d395ea2d56a105ef3fbcc11f39204d6d10047bfa6b0f7ad13136

Observation fcee5b13-b8bd-4222-8d5d-b9c3590c73bf · outbound

This paper cites Molter, E.

Continuum models of directed polymers on disordered diamond fractals in the critical case Molter, E

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.633454Z

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=2026-08-14T12:33:32.743300Z digest=sha256:1a757992599f2e201218a9f2a08fb69be73f43059395827898bb46f5027c729d

Observation a395ff97-00c7-4dc5-a8c6-a597f98082b0 · outbound

This paper cites Royden: Real Analysis, third edition, Macmillan 1988.

Continuum models of directed polymers on disordered diamond fractals in the critical case Royden: Real Analysis, third edition, Macmillan 1988

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.538380Z

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=2026-08-14T12:33:32.749224Z digest=sha256:387e430d991084a51c684f8e40b87de8efddf359a3aee88b532f19a0cbac276f

Observation 7182cbfe-8885-4a21-9b5b-e7ff48185b1f · outbound

This paper cites Ruiz: Explicit formulas for heat kernels on diamond fractals , Commun.

Continuum models of directed polymers on disordered diamond fractals in the critical case Ruiz: Explicit formulas for heat kernels on diamond fractals , Commun

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:33:33.517385Z

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=2026-08-14T12:33:32.753610Z digest=sha256:182073e24f35428d7d910313131da54b7963d95f51c9889c142985f8bc2eba83

Observation 49c1c611-d68a-43ee-a5f8-fa14a0b53987 · outbound

This paper cites Heat kernel analysis on diamond fractals.

Continuum models of directed polymers on disordered diamond fractals in the critical case Heat kernel analysis on diamond fractals

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:33:33.146703Z

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=2026-08-14T12:33:32.870404Z digest=sha256:a8172c2f39da6efa7fc346decbdc829037ee8d65fbecd39c1ced440ee949c3f7

Pith citing papers

Observation 6c1e97c3-9469-4463-8857-67ca39d85972 · inbound

Weak-disorder limit at criticality for directed polymers on hierarchical graphs cites this paper.

Weak-disorder limit at criticality for directed polymers on hierarchical graphs Continuum models of directed polymers on disordered diamond fractals in the critical case

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-14T12:47:51.389347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:47:51.389347Z digest=sha256:bb05fe99891083faeaab3e4e7714b09f1c41422f38059f5f222bad73fada1689

Observation 2ac2120b-72d8-4970-b4ef-7a20387535d6 · inbound

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal cites this paper.

The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal Continuum models of directed polymers on disordered diamond fractals in the critical case

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:58:21.559048Z

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=2026-08-14T11:58:20.967905Z digest=sha256:59bde8413bcf7ffc55da0760821da413594c374f29f2897c19ea413b7e0533a5