Pith Number

pith:ENMNEGSF

pith:2012:ENMNEGSF4V4FL34OGUH65YGPKQ

not attested not anchored not stored refs pending

From level 2.5 to level 2 large deviations for continuous time Markov chains

A. Faggionato, D. Gabrielli, L. Bertini

arxiv:1212.6908 v1 · 2012-12-31 · math.PR · cond-mat.stat-mech · 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{ENMNEGSF4V4FL34OGUH65YGPKQ}

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	2026-05-18T03:37:29.511121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2358d21a45e57855ef8e350feee0cf542758cccc3b350e352c0d925300f746f6

Aliases

arxiv: 1212.6908 · arxiv_version: 1212.6908v1 · doi: 10.48550/arxiv.1212.6908 · pith_short_12: ENMNEGSF4V4F · pith_short_16: ENMNEGSF4V4FL34O · pith_short_8: ENMNEGSF

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/ENMNEGSF4V4FL34OGUH65YGPKQ \
  | 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: 2358d21a45e57855ef8e350feee0cf542758cccc3b350e352c0d925300f746f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a28bbc2a82db7764c21c5db061a6036de0ce8caf74344192bdbaf9ee3533d18",
    "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": "2012-12-31T15:20:10Z",
    "title_canon_sha256": "1fae228fe3bf699942dcebf0b44a96fd6ddb41674e52711a695c432d35c43afc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6908",
    "kind": "arxiv",
    "version": 1
  }
}