Pith Number

pith:72OYQ6O2

pith:2012:72OYQ6O253XPRIRVWNQIPKO5ZT

not attested not anchored not stored refs pending

Aging of asymmetric dynamics on the random energy model

Jean-Christophe Mourrat, Pierre Mathieu

arxiv:1212.5117 v2 · 2012-12-20 · 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{72OYQ6O253XPRIRVWNQIPKO5ZT}

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	2026-05-18T03:30:25.278306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9d8879daeeeef8a235b36087a9ddcce03b2dd2f4d8ccd2625e6da53c6d6c39

Aliases

arxiv: 1212.5117 · arxiv_version: 1212.5117v2 · doi: 10.48550/arxiv.1212.5117 · pith_short_12: 72OYQ6O253XP · pith_short_16: 72OYQ6O253XPRIRV · pith_short_8: 72OYQ6O2

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/72OYQ6O253XPRIRVWNQIPKO5ZT \
  | 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: fe9d8879daeeeef8a235b36087a9ddcce03b2dd2f4d8ccd2625e6da53c6d6c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ba55192f95b3da5dfbcb82db20f874e43e1bb8b272470ad4a829a01b71c95b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-20T16:08:37Z",
    "title_canon_sha256": "a90eafd66b477c7295e71a8797da2569e0793ca28e9b6b970a84affdd21b95d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5117",
    "kind": "arxiv",
    "version": 2
  }
}