Pith Number

pith:HSU6AC6H

pith:1998:HSU6AC6HAIZM7PZA5JRVDQCMOO

not attested not anchored not stored refs pending

Group categories and their field theories

Frank Quinn

arxiv:math/9811047 v2 · 1998-11-08 · math.GT · 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{HSU6AC6HAIZM7PZA5JRVDQCMOO}

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	2026-07-04T14:40:51.603176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca9e00bc70232cfbf20ea6351c04c73b3875e4f3012894553966763f8e8aacd

Aliases

arxiv: math/9811047 · arxiv_version: math/9811047v2 · doi: 10.48550/arxiv.math/9811047 · pith_short_12: HSU6AC6HAIZM · pith_short_16: HSU6AC6HAIZM7PZA · pith_short_8: HSU6AC6H

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/HSU6AC6HAIZM7PZA5JRVDQCMOO \
  | 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: 3ca9e00bc70232cfbf20ea6351c04c73b3875e4f3012894553966763f8e8aacd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbfc7dac8002fc1f4b1352924498700023a1d3c9135078ba701990e60e49b1a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-11-08T16:54:49Z",
    "title_canon_sha256": "82448a4928e47df887b9ccc1026b716ef6104c401b84d94b1ce1433f278c5b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811047",
    "kind": "arxiv",
    "version": 2
  }
}