Pith Number

pith:6DUWKDWJ

pith:2013:6DUWKDWJBKYU3BL2IWZ4BTWU2A

not attested not anchored not stored refs pending

Gelation for Marcus-Lushnikov process

Fraydoun Rezakhanlou

arxiv:1306.3334 v1 · 2013-06-14 · 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{6DUWKDWJBKYU3BL2IWZ4BTWU2A}

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	2026-05-18T03:20:57.826432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e9650ec90ab14d857a45b3c0ced4d0101a839631a893fc80a206d8cb548940

Aliases

arxiv: 1306.3334 · arxiv_version: 1306.3334v1 · doi: 10.48550/arxiv.1306.3334 · pith_short_12: 6DUWKDWJBKYU · pith_short_16: 6DUWKDWJBKYU3BL2 · pith_short_8: 6DUWKDWJ

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/6DUWKDWJBKYU3BL2IWZ4BTWU2A \
  | 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: f0e9650ec90ab14d857a45b3c0ced4d0101a839631a893fc80a206d8cb548940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0b36c9cd97e31b19745bea2556ff5c962c8228c502e554a60ca3886c3d3f8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-14T08:41:20Z",
    "title_canon_sha256": "73b77f19a065fddbb83526d27ed97ac55cce3ee47d16ef5e8066751f607993b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3334",
    "kind": "arxiv",
    "version": 1
  }
}