Pith Number

pith:6R6C2EE3

pith:1990:6R6C2EE3G67RTO6FK3M73TJZEG

not attested not anchored not stored refs pending

Involutory Hopf algebras and 3-manifold invariants

Greg Kuperberg (UC Berkeley)

arxiv:math/9201301 v1 · 1990-05-19 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R6C2EE3G67RTO6FK3M73TJZEG}

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	2026-05-18T01:05:53.028173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47c2d109b37bf19bbc556d9fdcd3921ac5a052da60e48985ff016f9e05ca720

Aliases

arxiv: math/9201301 · arxiv_version: math/9201301v1 · doi: 10.48550/arxiv.math/9201301 · pith_short_12: 6R6C2EE3G67R · pith_short_16: 6R6C2EE3G67RTO6F · pith_short_8: 6R6C2EE3

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/6R6C2EE3G67RTO6FK3M73TJZEG \
  | 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: f47c2d109b37bf19bbc556d9fdcd3921ac5a052da60e48985ff016f9e05ca720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b39e27e9a1bf3cc39078379234a0c576f52365130d93e88c688cb4c35be6cc04",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1990-05-19T00:00:00Z",
    "title_canon_sha256": "6d47cb986a1931f9185142e33678593abb544f504e647a40ae099a7640cf9e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201301",
    "kind": "arxiv",
    "version": 1
  }
}