Pith Number

pith:OYADFEMC

pith:2024:OYADFEMCJYJRAINMKO2O4YWMRF

not attested not anchored not stored refs pending

Directed polymers in a random environment: a review of the phase transitions

Nikos Zygouras

arxiv:2401.01757 v4 · 2024-01-03 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYADFEMCJYJRAINMKO2O4YWMRF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

The Critical 2d Stochastic Heat Flow and Related Models

Receipt and verification

First computed	2026-07-05T09:06:02.100960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76003291824e131021ac53b4ee62cc896e79e5496b4c835a81dd8ff674fd649b

Aliases

arxiv: 2401.01757 · arxiv_version: 2401.01757v4 · doi: 10.48550/arxiv.2401.01757 · pith_short_12: OYADFEMCJYJR · pith_short_16: OYADFEMCJYJRAINM · pith_short_8: OYADFEMC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OYADFEMCJYJRAINMKO2O4YWMRF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 76003291824e131021ac53b4ee62cc896e79e5496b4c835a81dd8ff674fd649b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96460d5b8c40c73c5f5aaa6be7488abfeb9121673a9822dccc8faad0ef6b619b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-01-03T14:20:16Z",
    "title_canon_sha256": "5ba80fea5acd14372db54cfcbf4241aa716d38f90638d459ff689eb6c56551d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.01757",
    "kind": "arxiv",
    "version": 4
  }
}