Pith Number

pith:JZUSKTFS

pith:2010:JZUSKTFSWTLXYUQL465IOQSHJC

not attested not anchored not stored refs pending

Time scales in large systems of Brownian particles with stochastic synchronization

Anatoly Manita

arxiv:1012.3140 v1 · 2010-12-14 · 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{JZUSKTFSWTLXYUQL465IOQSHJC}

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	2026-05-18T04:33:18.509796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e69254cb2b4d77c520be7ba87424748bd7868cc8eeb93a0be764117df64a9be

Aliases

arxiv: 1012.3140 · arxiv_version: 1012.3140v1 · doi: 10.48550/arxiv.1012.3140 · pith_short_12: JZUSKTFSWTLX · pith_short_16: JZUSKTFSWTLXYUQL · pith_short_8: JZUSKTFS

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/JZUSKTFSWTLXYUQL465IOQSHJC \
  | 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: 4e69254cb2b4d77c520be7ba87424748bd7868cc8eeb93a0be764117df64a9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7bc93df9f8cdbd28c1af72b536ad9ee78d619dd27d9ce64f17366b6dbc9230e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-14T19:24:07Z",
    "title_canon_sha256": "e4c6ee9eb263dbd61a0a24d8f0b9fbb54209c10c1bb22ce39cf6ef151a2e1645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3140",
    "kind": "arxiv",
    "version": 1
  }
}