Pith Number

pith:LIU5VM4C

pith:2013:LIU5VM4CJ723YZ743BJOFE6VAM

not attested not anchored not stored refs pending

Counting the Palstars

Jeffrey Shallit, L. Bruce Richmond

arxiv:1311.2318 v2 · 2013-11-10 · math.CO · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIU5VM4CJ723YZ743BJOFE6VAM}

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	2026-05-18T02:49:53.903374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a29dab3824ff5bc67fcd852e293d50324bc7b8d12dd468e970d0cb0b04b0f2d

Aliases

arxiv: 1311.2318 · arxiv_version: 1311.2318v2 · doi: 10.48550/arxiv.1311.2318 · pith_short_12: LIU5VM4CJ723 · pith_short_16: LIU5VM4CJ723YZ74 · pith_short_8: LIU5VM4C

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/LIU5VM4CJ723YZ743BJOFE6VAM \
  | 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: 5a29dab3824ff5bc67fcd852e293d50324bc7b8d12dd468e970d0cb0b04b0f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e173f9aa722da07d672f3b979e30c2085319065697b3c73bae88ef7d49f72e",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-10T23:27:54Z",
    "title_canon_sha256": "1a7b497413c94e825496fbda2695453d5814735ecd5ddd8926026a20e063311f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2318",
    "kind": "arxiv",
    "version": 2
  }
}