Pith Number

pith:5S3QOSKL

pith:2010:5S3QOSKLTO4DYVVOAMSVR7E7C2

not attested not anchored not stored refs pending

Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions

Gideon Amir, Ivan Corwin, Jeremy Quastel

arxiv:1003.0443 v4 · 2010-03-01 · math.PR · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5S3QOSKLTO4DYVVOAMSVR7E7C2}

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

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.

Receipt and verification

First computed	2026-05-18T04:27:47.717609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb707494b9bb83c56ae032558fc9f168611c85b3614903024761ac11b7f2c3c

Aliases

arxiv: 1003.0443 · arxiv_version: 1003.0443v4 · doi: 10.48550/arxiv.1003.0443 · pith_short_12: 5S3QOSKLTO4D · pith_short_16: 5S3QOSKLTO4DYVVO · pith_short_8: 5S3QOSKL

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/5S3QOSKLTO4DYVVOAMSVR7E7C2 \
  | 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: ecb707494b9bb83c56ae032558fc9f168611c85b3614903024761ac11b7f2c3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542470e73c731f0da83dffec3de4cd5c42428068cc55360861a3f145c884f6d6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-01T20:43:45Z",
    "title_canon_sha256": "4553b9a3e1bc9d9ff2c0b04064e2daa3ad463305dd675e1613eb5f444e8dd5dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0443",
    "kind": "arxiv",
    "version": 4
  }
}