Pith Number

pith:2OKKKHEW

pith:2010:2OKKKHEWF7YARH7EGZKBT23YGA

not attested not anchored not stored refs pending

The effect of disorder on the free-energy for the Random Walk Pinning Model: smoothing of the phase transition and low temperature asymptotics

Hubert Lacoin, Quentin Berger

arxiv:1007.5162 v1 · 2010-07-29 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OKKKHEWF7YARH7EGZKBT23YGA}

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	2026-05-18T02:06:01.434259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d394a51c962ff0089fe4365419eb78302e1a148d5fc7f4f443344edfd129c6b4

Aliases

arxiv: 1007.5162 · arxiv_version: 1007.5162v1 · doi: 10.48550/arxiv.1007.5162 · pith_short_12: 2OKKKHEWF7YA · pith_short_16: 2OKKKHEWF7YARH7E · pith_short_8: 2OKKKHEW

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/2OKKKHEWF7YARH7EGZKBT23YGA \
  | 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: d394a51c962ff0089fe4365419eb78302e1a148d5fc7f4f443344edfd129c6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e204b6a839630a8953b3f815e9630c8a959046607621c48eff9b2b6651075f56",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-29T09:26:58Z",
    "title_canon_sha256": "4614fe9656117ac58d4ed040781cd7e48352bcc129ee91eba4fc40f502e3ae38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5162",
    "kind": "arxiv",
    "version": 1
  }
}