Pith Number

pith:TMRTVLYO

pith:2024:TMRTVLYOEY7YYPFOXKMDZIQWFO

not attested not anchored not stored refs pending

Critical Transitions in Interacting Particle Systems: An Onsager-Machlup Action Functional Framework

Galina Strelkova, Jianyu Chen, Jinqiao Duan, Ting Gao

arxiv:2404.07552 v2 · 2024-04-11 · math.DS · 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{TMRTVLYOEY7YYPFOXKMDZIQWFO}

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	2026-05-27T02:05:00.192063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b233aaf0e263f8c3caeba983ca2162bbdf39fe7d187171aa8b317b288aa7213

Aliases

arxiv: 2404.07552 · arxiv_version: 2404.07552v2 · doi: 10.48550/arxiv.2404.07552 · pith_short_12: TMRTVLYOEY7Y · pith_short_16: TMRTVLYOEY7YYPFO · pith_short_8: TMRTVLYO

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/TMRTVLYOEY7YYPFOXKMDZIQWFO \
  | 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: 9b233aaf0e263f8c3caeba983ca2162bbdf39fe7d187171aa8b317b288aa7213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71b97ccc7796351bef033e1d6137c8964345f0543939dcde55cb467a5b491b9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2024-04-11T08:34:20Z",
    "title_canon_sha256": "b8f38b80d40251071f0a2b3ab18ea7c64bc847cd8a047d91b75f08cd46d5936b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.07552",
    "kind": "arxiv",
    "version": 2
  }
}