Pith Number

pith:D3MY37KR

pith:2013:D3MY37KRY5PQ7XVKUGBZAD3UT3

not attested not anchored not stored refs pending

Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions

Frank den Hollander, Frank Redig, Willem van Zuijlen

arxiv:1312.3438 v2 · 2013-12-12 · 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{D3MY37KRY5PQ7XVKUGBZAD3UT3}

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	2026-05-18T02:39:16.639503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed98dfd51c75f0fdeaaa183900f749eedb1593ad898f95893bf0ee77a585a58

Aliases

arxiv: 1312.3438 · arxiv_version: 1312.3438v2 · doi: 10.48550/arxiv.1312.3438 · pith_short_12: D3MY37KRY5PQ · pith_short_16: D3MY37KRY5PQ7XVK · pith_short_8: D3MY37KR

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/D3MY37KRY5PQ7XVKUGBZAD3UT3 \
  | 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: 1ed98dfd51c75f0fdeaaa183900f749eedb1593ad898f95893bf0ee77a585a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d2cd912b13e3aa66ddbc6c7cc976823e2055bc4e59a2a8b6eb8b395004aecd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-12T10:33:42Z",
    "title_canon_sha256": "040b150c0e5efe38df9eff311be24835ef0aef32f1ae38d70199c74c4f4b1138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3438",
    "kind": "arxiv",
    "version": 2
  }
}