Pith Number

pith:F3HPUUDL

pith:2009:F3HPUUDL33GO5QAHD2TJAVIQPL

not attested not anchored not stored refs pending

Measuring on Lattices

Kevin H. Knuth

arxiv:0909.3684 v1 · 2009-09-21 · math.GM · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3HPUUDL33GO5QAHD2TJAVIQPL}

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	2026-05-18T02:11:45.949651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ecefa506bdecceec0071ea69055107af65bcc18ad9f0684291b702845351385

Aliases

arxiv: 0909.3684 · arxiv_version: 0909.3684v1 · doi: 10.48550/arxiv.0909.3684 · pith_short_12: F3HPUUDL33GO · pith_short_16: F3HPUUDL33GO5QAH · pith_short_8: F3HPUUDL

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/F3HPUUDL33GO5QAHD2TJAVIQPL \
  | 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: 2ecefa506bdecceec0071ea69055107af65bcc18ad9f0684291b702845351385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ab43d6e6849d19f006a4a1570aca43cce0ce9de9955220b077fea0146d44d1",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-09-21T04:37:45Z",
    "title_canon_sha256": "247fee91b94b59c5771060a52e95b9b138d8c11a6165a674a2a4a5868b13b3ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3684",
    "kind": "arxiv",
    "version": 1
  }
}