Pith Number

pith:74RQSBTX

pith:1994:74RQSBTXC7DMYDMCHXPCIFO33C

not attested not anchored not stored refs pending

Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity

Volodymyr Lyubashenko

arxiv:hep-th/9405167 v2 · 1994-05-26 · hep-th · 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{74RQSBTXC7DMYDMCHXPCIFO33C}

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

2 papers in Pith

String nets for twisted pivotal categories

Candidate Gaugings of Categorical Continuous Symmetry

Receipt and verification

First computed	2026-07-04T15:57:45.682569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff2309067717c6cc0d823dde2415dbd88e7132ffe3f2fe8d5c72ea095263d0ab

Aliases

arxiv: hep-th/9405167 · arxiv_version: hep-th/9405167v2 · doi: 10.48550/arxiv.hep-th/9405167 · pith_short_12: 74RQSBTXC7DM · pith_short_16: 74RQSBTXC7DMYDMC · pith_short_8: 74RQSBTX

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/74RQSBTXC7DMYDMCHXPCIFO33C \
  | 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: ff2309067717c6cc0d823dde2415dbd88e7132ffe3f2fe8d5c72ea095263d0ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6015ec1fd90845576501f22b4bd4f455de21070be1c55b95e1b9d8ae90b357d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-05-26T10:48:23Z",
    "title_canon_sha256": "70056c9917d95d43da43abb014c7b5547fbf16be71d120962eac917e483025b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9405167",
    "kind": "arxiv",
    "version": 2
  }
}