Pith Number

pith:RIVX2O5C

pith:2011:RIVX2O5CE5I6EGWTG6YSD5UPWN

not attested not anchored not stored refs pending

The role of disorder in the dynamics of critical fluctuations of mean field models

Francesca Collet, Paolo Dai Pra

arxiv:1111.3587 v1 · 2011-11-15 · 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{RIVX2O5CE5I6EGWTG6YSD5UPWN}

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	2026-05-18T04:08:13.903035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a2b7d3ba22751e21ad337b121f68fb3574cc3e937e8bce5bb1eacd23bf001e4

Aliases

arxiv: 1111.3587 · arxiv_version: 1111.3587v1 · doi: 10.48550/arxiv.1111.3587 · pith_short_12: RIVX2O5CE5I6 · pith_short_16: RIVX2O5CE5I6EGWT · pith_short_8: RIVX2O5C

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/RIVX2O5CE5I6EGWTG6YSD5UPWN \
  | 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: 8a2b7d3ba22751e21ad337b121f68fb3574cc3e937e8bce5bb1eacd23bf001e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ae00bc2ec6dd942fc4732e800d0acae38b62766d85ac4088ba5b4a23c6b033",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-15T17:22:37Z",
    "title_canon_sha256": "a85347b7c077dbdfe0f4d4ba30607ed97614978d4f355ff1fd6f30bdb883c22b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3587",
    "kind": "arxiv",
    "version": 1
  }
}