Pith Number

pith:VL7EEIDY

pith:2013:VL7EEIDYILW2UOKIVSN4TE4565

not attested not anchored not stored refs pending

The Cram\'er Condition for the Curie-Weiss Model of SOC

Matthias Gorny

arxiv:1311.2806 v2 · 2013-11-12 · 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{VL7EEIDYILW2UOKIVSN4TE4565}

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	2026-05-18T02:41:01.158416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aafe42207842edaa3948ac9bc9939df755af5f86d68424979a659d15fd2f14ff

Aliases

arxiv: 1311.2806 · arxiv_version: 1311.2806v2 · doi: 10.48550/arxiv.1311.2806 · pith_short_12: VL7EEIDYILW2 · pith_short_16: VL7EEIDYILW2UOKI · pith_short_8: VL7EEIDY

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/VL7EEIDYILW2UOKIVSN4TE4565 \
  | 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: aafe42207842edaa3948ac9bc9939df755af5f86d68424979a659d15fd2f14ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3721f13796e2990babf039e9965c8cb84c30c48153dac9f38ca5953e7d5b6b74",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-12T15:12:28Z",
    "title_canon_sha256": "5a9df6eb43dcde2fc06f3dc598247ed290b9c8c0136a69a7c4bcc55a6c1b7a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2806",
    "kind": "arxiv",
    "version": 2
  }
}