Pith Number

pith:CKE7E3G7

pith:2010:CKE7E3G7YC577S33ID5JN7HUZO

not attested not anchored not stored refs pending

Modular categories, integrality and Egyptian fractions

Eric C. Rowell, Paul Bruillard

arxiv:1012.0814 v2 · 2010-12-03 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKE7E3G7YC577S33ID5JN7HUZO}

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	2026-05-18T04:33:59.279380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1289f26cdfc0bbffcb7b40fa96fcf4cbb22cd45ac0ca2529c8f188d05d0b8cd0

Aliases

arxiv: 1012.0814 · arxiv_version: 1012.0814v2 · doi: 10.48550/arxiv.1012.0814 · pith_short_12: CKE7E3G7YC57 · pith_short_16: CKE7E3G7YC577S33 · pith_short_8: CKE7E3G7

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/CKE7E3G7YC577S33ID5JN7HUZO \
  | 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: 1289f26cdfc0bbffcb7b40fa96fcf4cbb22cd45ac0ca2529c8f188d05d0b8cd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cafa6d5f8e7b054fd3b35d6ea1ec0e398fa1e07ba379630a8c0a36165fd6246",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-03T18:55:39Z",
    "title_canon_sha256": "9e079bc9ce85bc0c4cad467b4bfd14247274eb34c8cddb87a2f2e1758ad1df47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0814",
    "kind": "arxiv",
    "version": 2
  }
}