Pith Number

pith:OVFG7WOE

pith:2001:OVFG7WOEBN7NCFM2ODJWYJCK6G

not attested not anchored not stored refs pending

Discrete Spacings

Chris A.J. Klaassen, J. Theo Runnenburg

arxiv:math/0112056 v1 · 2001-12-06 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVFG7WOEBN7NCFM2ODJWYJCK6G}

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	2026-07-04T14:35:47.908512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

754a6fd9c40b7ed1159a70d36c244af1ab63967546b1a5ba3441b2e24284e457

Aliases

arxiv: math/0112056 · arxiv_version: math/0112056v1 · doi: 10.48550/arxiv.math/0112056 · pith_short_12: OVFG7WOEBN7N · pith_short_16: OVFG7WOEBN7NCFM2 · pith_short_8: OVFG7WOE

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/OVFG7WOEBN7NCFM2ODJWYJCK6G \
  | 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: 754a6fd9c40b7ed1159a70d36c244af1ab63967546b1a5ba3441b2e24284e457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d182b4ba22784aff5865692a7200a421e7b99bb18d644e712de8a5ae9818fd6",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2001-12-06T14:51:07Z",
    "title_canon_sha256": "c8474bc80e139d2de37cbe698d941c2da18453328d2558f130868735c0789341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112056",
    "kind": "arxiv",
    "version": 1
  }
}