Pith Number

pith:4L3U6VMK

pith:2010:4L3U6VMKWZFO6OQHCRJLTNJUIZ

not attested not anchored not stored refs pending

Inverse Star, Borders, and Palstars

Jeffrey Shallit, Ming-wei Wang, Narad Rampersad

arxiv:1008.2440 v2 · 2010-08-14 · cs.FL · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L3U6VMKWZFO6OQHCRJLTNJUIZ}

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	2026-05-18T04:41:36.463688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f74f558ab64aef3a071452b9b5344673e7d4f38bbc9f64f3f893444a6f7a8d

Aliases

arxiv: 1008.2440 · arxiv_version: 1008.2440v2 · doi: 10.48550/arxiv.1008.2440 · pith_short_12: 4L3U6VMKWZFO · pith_short_16: 4L3U6VMKWZFO6OQH · pith_short_8: 4L3U6VMK

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/4L3U6VMKWZFO6OQHCRJLTNJUIZ \
  | 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: e2f74f558ab64aef3a071452b9b5344673e7d4f38bbc9f64f3f893444a6f7a8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "684389f2299d6b8413923221aefbde324416930062567ce645cdab9655015be3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2010-08-14T12:59:20Z",
    "title_canon_sha256": "e9f625cd24393e53a4edac6caf7ec9f6d7adab2451fa24d5d9336774d59bf4d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2440",
    "kind": "arxiv",
    "version": 2
  }
}