Pith Number

pith:5LK6PBGR

pith:2010:5LK6PBGRE3FNCEBWLIZCFGT2KQ

not attested not anchored not stored refs pending

Free-energy distribution of the directed polymer at high temperature

Alberto Rosso, Pasquale Calabrese, Pierre Le Doussal

arxiv:1002.4560 v2 · 2010-02-24 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LK6PBGRE3FNCEBWLIZCFGT2KQ}

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.

Receipt and verification

First computed	2026-05-18T02:08:57.269893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ead5e784d126cad110365a32229a7a54212adc1d07c69b4226203dd9be88bb2d

Aliases

arxiv: 1002.4560 · arxiv_version: 1002.4560v2 · doi: 10.48550/arxiv.1002.4560 · pith_short_12: 5LK6PBGRE3FN · pith_short_16: 5LK6PBGRE3FNCEBW · pith_short_8: 5LK6PBGR

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/5LK6PBGRE3FNCEBWLIZCFGT2KQ \
  | 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: ead5e784d126cad110365a32229a7a54212adc1d07c69b4226203dd9be88bb2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7369176470190ea3afed0f02c66bb9aa1eef289017a1f0de2ea9cc8ab093958a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2010-02-24T15:12:35Z",
    "title_canon_sha256": "4ead9e7aa10e747667f61af25efb8b187a04bed67b1451f5e6c1f0ef971751ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4560",
    "kind": "arxiv",
    "version": 2
  }
}