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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=sha256:061ae46855baa8b0b94e331cf215b7f72397299439eab227db9f7d8a0006593a

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:c85a4d80c1db1d75264649b749abc971038a1baa1d487781d2d1072ec6191a94

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:cf0d4192a7533ca0301b44fedb2f4044ad2cee9ca9caa425e7e98687cac9f2fb

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=sha256:3fe86c7363035b1167d599fed69b9d461e700a2d06b49dd21771de955fbb3509

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=sha256:41f355bfd7f27139257e1e739c03716360abf89693bdf45b521a6623a03be397

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=sha256:2404e71701049363f97f34711c24e9d16f13a35d3abab0743601807a59451967

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=sha256:3fa9ba606e181f12fc1e03b8d835c3193985d2350267594922a279ad5d465ae3

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=sha256:6dbef9dfb0a67f120200c1489534d0c5d70aa217e475a133612a84d95d5ef59c

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=sha256:6753f84b1737c15701f8b16c344dfea86d8e5e015866b70e2a937e1e07981293

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:eedfa2e291e6d3408c26f5f2a7e09c1a40758943f58aa3fa45813a9f7dd665eb

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=sha256:2ecc9861a0d743743d47562ddada744a4e026f4e0e69594f3c57745b39c2f719

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:c2688200ad810b03ff3782b2fb563c44d244653c6634c7b804f3d4d99bcf01fe

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=sha256:062396ce7921c687c5e45737b2c76d60675cda412724a28792b524891f8762bc

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:bdef65ae118023dd9dabd466d78bcecfa9bd583f38eeafb45b0303e3eaa2dce5

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=sha256:44dd8813199fd31cfc6a51bd0aacd022f62104790395d22789eb0331fc5b9cab

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:eab7db6b6a4b9642cc86319d252ad654914f71fb2feb40854d70fc0c0949dd35

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:ccc71e5336c78a947db95ce7ec6f353d54ba5e57f5aefbdf7065a8e74279ea2a

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=sha256:6e1297d69984c0e91c15d58fac0bae1a7414a0fb62c986d3aa6d78c285de3a6f

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:c2f2e45cd72ffd2f6d822a0043dae6a79ce58038cb46e1a6c07d201a0ca55362

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:d5024e0bf0e95ae60c68cde5ccc14ac09db80c1f71c16a78923e6ae048941bbc

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=sha256:7f4b7f7530bdf539ab406ad09a2b533a28c0ed4a2de142e95e4aa774f1c6e75c

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=sha256:68ff3eda4d62593d4b6c8c25b8e1e98736091808bacec468f9baf20e104619c9

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:c3b17eb4b378d9333b78d6ab998573c48b781c57b748aed676d1877f2d2e0f35