Pith Number

pith:5IFUJ5US

pith:2012:5IFUJ5USBFHCMVBMJ2CQNWYJZ2

not attested not anchored not stored refs pending

Systems of branching, annihilating, and coalescing particles

Jan Swart, Siva Athreya

arxiv:1203.6477 v2 · 2012-03-29 · 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{5IFUJ5USBFHCMVBMJ2CQNWYJZ2}

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	2026-05-18T03:43:52.429579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea0b44f692094e26542c4e8506db09ceb6d06d669bd47b44621ab87241ea302e

Aliases

arxiv: 1203.6477 · arxiv_version: 1203.6477v2 · doi: 10.48550/arxiv.1203.6477 · pith_short_12: 5IFUJ5USBFHC · pith_short_16: 5IFUJ5USBFHCMVBM · pith_short_8: 5IFUJ5US

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/5IFUJ5USBFHCMVBMJ2CQNWYJZ2 \
  | 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: ea0b44f692094e26542c4e8506db09ceb6d06d669bd47b44621ab87241ea302e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a10d1736a68c4c4ffdbd5817d205bcbba01f4497abb60081131f36c729177e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-29T09:43:52Z",
    "title_canon_sha256": "64dbf37baa7c20a837e7a050f4677f7c711d4fd47fc4356750df7901cea15789"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6477",
    "kind": "arxiv",
    "version": 2
  }
}