Pith Number

pith:3IFDRO72

pith:1999:3IFDRO72OMXZZFLGKGOMM3MBD5

not attested not anchored not stored refs pending

The free unitary compact quantum group

Teodor Banica

arxiv:math/9901042 v6 · 1999-01-10 · 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{3IFDRO72OMXZZFLGKGOMM3MBD5}

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	2026-05-18T00:29:49.738920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0a38bbfa732f9c9566519cc66d811f41701c742a2316e2920d54774bd99768

Aliases

arxiv: math/9901042 · arxiv_version: math/9901042v6 · doi: 10.48550/arxiv.math/9901042 · pith_short_12: 3IFDRO72OMXZ · pith_short_16: 3IFDRO72OMXZZFLG · pith_short_8: 3IFDRO72

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/3IFDRO72OMXZZFLGKGOMM3MBD5 \
  | 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: da0a38bbfa732f9c9566519cc66d811f41701c742a2316e2920d54774bd99768

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931ac1da25f301317dc9c5b52160e2e3c15a5af397eebbe0e7411189561c8a4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "1999-01-10T19:27:40Z",
    "title_canon_sha256": "88ee8a0a22fb0f4def6b93de4a2a7bed30e8e388152b7dc43ead7f90e3947083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9901042",
    "kind": "arxiv",
    "version": 6
  }
}