Pith Number

pith:OFYSX3JB

pith:2000:OFYSX3JB6JGOYUBBGBX63IW2T2

not attested not anchored not stored refs pending

A mass formula for unimodular lattices with no roots

Oliver King

arxiv:math/0012231 v3 · 2000-12-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFYSX3JB6JGOYUBBGBX63IW2T2}

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.

Cited by

1 paper in Pith

Tensor Product CFTs and One-Character Extensions

Receipt and verification

First computed	2026-07-04T14:34:59.908200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71712bed21f24cec5021306feda2da9eabc305fea9eeeb37bf210d5b5d709cc8

Aliases

arxiv: math/0012231 · arxiv_version: math/0012231v3 · doi: 10.48550/arxiv.math/0012231 · pith_short_12: OFYSX3JB6JGO · pith_short_16: OFYSX3JB6JGOYUBB · pith_short_8: OFYSX3JB

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/OFYSX3JB6JGOYUBBGBX63IW2T2 \
  | 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: 71712bed21f24cec5021306feda2da9eabc305fea9eeeb37bf210d5b5d709cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd98ed14552acebe3952f482758536764f94033378fe7c2b0fabe21047b9f035",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2000-12-22T11:37:27Z",
    "title_canon_sha256": "a2c67c921baf960d7abb145cd4bf0789e4e3947ecadd9835886d38cab61933d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012231",
    "kind": "arxiv",
    "version": 3
  }
}