Pith Number

pith:3TVTYXPZ

pith:2013:3TVTYXPZQX53GOSMUWHTLHB7H2

not attested not anchored not stored refs pending

Two limiting regimes of interacting Bessel processes

Makoto Katori, Seiji Miyashita, Sergio Andraus

arxiv:1309.2733 v3 · 2013-09-11 · math-ph · cond-mat.stat-mech · math.MP · math.PR · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TVTYXPZQX53GOSMUWHTLHB7H2}

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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	2026-05-18T01:47:43.410850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dceb3c5df985fbb33a4ca58f359c3f3ebdadd1d6b4c0c1a38455a8f2cf24630f

Aliases

arxiv: 1309.2733 · arxiv_version: 1309.2733v3 · doi: 10.48550/arxiv.1309.2733 · pith_short_12: 3TVTYXPZQX53 · pith_short_16: 3TVTYXPZQX53GOSM · pith_short_8: 3TVTYXPZ

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/3TVTYXPZQX53GOSMUWHTLHB7H2 \
  | 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: dceb3c5df985fbb33a4ca58f359c3f3ebdadd1d6b4c0c1a38455a8f2cf24630f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee73e2e97a6867221b738879a5a86d69380589d78502f16da64caa89f2064e7",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-11T05:40:15Z",
    "title_canon_sha256": "4900734b5454fefe50825eb330bc49040f215059f85a9508440d95a3c1e0401b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2733",
    "kind": "arxiv",
    "version": 3
  }
}