Pith Number

pith:XTSVHFAY

pith:1997:XTSVHFAY3P4BUYO65W45DJN3PU

not attested not anchored not stored refs pending

Non-involutory Hopf algebras and 3-manifold invariants

Greg Kuperberg (UC Davis)

arxiv:q-alg/9712047 v1 · 1997-12-19 · q-alg · 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{XTSVHFAY3P4BUYO65W45DJN3PU}

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

Integrals along bimonoid homomorphisms

Receipt and verification

First computed	2026-07-04T14:45:06.283670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce5539418dbf81a61deedb9d1a5bb7d0aec31f72c4616f98ad56d4ca379720a

Aliases

arxiv: q-alg/9712047 · arxiv_version: q-alg/9712047v1 · doi: 10.48550/arxiv.q-alg/9712047 · pith_short_12: XTSVHFAY3P4B · pith_short_16: XTSVHFAY3P4BUYO6 · pith_short_8: XTSVHFAY

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/XTSVHFAY3P4BUYO65W45DJN3PU \
  | 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: bce5539418dbf81a61deedb9d1a5bb7d0aec31f72c4616f98ad56d4ca379720a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccbc6262e90fade590aa44fcdc61c2fab51dc04bc9f7422adb928dff42638ec1",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "q-alg",
    "submitted_at": "1997-12-19T07:12:29Z",
    "title_canon_sha256": "a158bde71363c6eea19d715bf454afdf09f0160c40935066c99eacb5c4c690e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "q-alg/9712047",
    "kind": "arxiv",
    "version": 1
  }
}