Pith Number

pith:XA34OSLW

pith:2013:XA34OSLWVP23VP4UMDBLU4YJZS

not attested not anchored not stored refs pending

A particle system with cooperative branching and coalescence

Anja Sturm, Jan M. Swart

arxiv:1311.0417 v3 · 2013-11-02 · 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{XA34OSLWVP23VP4UMDBLU4YJZS}

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	2026-05-18T02:00:59.188179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b837c74976abf5babf9460c2ba7309cc8f6b4a24b24432760f63f7fe1aeba7d0

Aliases

arxiv: 1311.0417 · arxiv_version: 1311.0417v3 · doi: 10.48550/arxiv.1311.0417 · pith_short_12: XA34OSLWVP23 · pith_short_16: XA34OSLWVP23VP4U · pith_short_8: XA34OSLW

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/XA34OSLWVP23VP4UMDBLU4YJZS \
  | 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: b837c74976abf5babf9460c2ba7309cc8f6b4a24b24432760f63f7fe1aeba7d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86cfc0a9298b7540c4046fbc59710ec26980ef81dced9dcb163880aa8e9d096",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-02T23:24:25Z",
    "title_canon_sha256": "99bd4d214ef76250d3e29e1a5611db325642e0b98f23daca7c04e35d8a584dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0417",
    "kind": "arxiv",
    "version": 3
  }
}