Pith Number

pith:ZB4ED56Z

pith:2010:ZB4ED56ZXHCS3O4KN67MAUEQD3

not attested not anchored not stored refs pending

Pfaffian formulae for one dimensional coalescing and annihilating systems

Oleg Zaboronski, Roger Tribe

arxiv:1009.4565 v4 · 2010-09-23 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZB4ED56ZXHCS3O4KN67MAUEQD3}

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	2026-05-18T04:05:04.119233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87841f7d9b9c52dbb8a6fbec050901edc3d04c7ac060ef3a455239551c80021

Aliases

arxiv: 1009.4565 · arxiv_version: 1009.4565v4 · doi: 10.48550/arxiv.1009.4565 · pith_short_12: ZB4ED56ZXHCS · pith_short_16: ZB4ED56ZXHCS3O4K · pith_short_8: ZB4ED56Z

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/ZB4ED56ZXHCS3O4KN67MAUEQD3 \
  | 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: c87841f7d9b9c52dbb8a6fbec050901edc3d04c7ac060ef3a455239551c80021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2926b40c6728fb7628a0ab58858dfcb970876221c8ba498cbeababd074851c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-23T10:28:19Z",
    "title_canon_sha256": "fe6f82bfdef0263640c2e985c45cedb86d44afbff986334e68dc0662c31a95af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4565",
    "kind": "arxiv",
    "version": 4
  }
}