Pith Number

pith:K3WPMRCO

pith:2009:K3WPMRCOB7NPR5LIFXOA7LS4FL

not attested not anchored not stored refs pending

Random Marked Sets

Felix Ballani, Martin Schlather, Zakhar Kabluchko

arxiv:0903.2388 v2 · 2009-03-13 · 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{K3WPMRCOB7NPR5LIFXOA7LS4FL}

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	2026-05-18T04:04:05.051386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ecf6444e0fdaf8f5682ddc0fae5c2af47cc175ec6f9e4fc96703c5286d8384

Aliases

arxiv: 0903.2388 · arxiv_version: 0903.2388v2 · doi: 10.48550/arxiv.0903.2388 · pith_short_12: K3WPMRCOB7NP · pith_short_16: K3WPMRCOB7NPR5LI · pith_short_8: K3WPMRCO

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/K3WPMRCOB7NPR5LIFXOA7LS4FL \
  | 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: 56ecf6444e0fdaf8f5682ddc0fae5c2af47cc175ec6f9e4fc96703c5286d8384

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97549a909657d579d7ee039946c72f66f0c2cd001da4697b992685dbaf69a444",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-03-13T14:29:13Z",
    "title_canon_sha256": "979faf6d998ab40692e5272e0d7e35b8a5373716a9dc07c13219d1a0828eeedd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2388",
    "kind": "arxiv",
    "version": 2
  }
}