Pith Number

pith:UQIZBYZQ

pith:1991:UQIZBYZQ2LOAU7UXARTNYGLP2H

not attested not anchored not stored refs pending

3-dimensional Gravity from the Turaev-Viro Invariant

Shun'ya Mizoguchi, Tsukasa Tada

arxiv:hep-th/9110057 v1 · 1991-10-21 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQIZBYZQ2LOAU7UXARTNYGLP2H}

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	2026-05-18T04:37:44.389259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a41190e330d2dc0a7e970466dc196fd1e17fd1cdc2d25655fadbd0c8291de69f

Aliases

arxiv: hep-th/9110057 · arxiv_version: hep-th/9110057v1 · doi: 10.48550/arxiv.hep-th/9110057 · pith_short_12: UQIZBYZQ2LOA · pith_short_16: UQIZBYZQ2LOAU7UX · pith_short_8: UQIZBYZQ

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/UQIZBYZQ2LOAU7UXARTNYGLP2H \
  | 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: a41190e330d2dc0a7e970466dc196fd1e17fd1cdc2d25655fadbd0c8291de69f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21597257355bd5e67b9c60d3e486c033836f42bf0e77de082cdc4aa0a901abd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-10-21T04:46:46Z",
    "title_canon_sha256": "018a2b3ba4c2a9378cd05f730f2d9f554c203bd30ff4a62e2acc2156cb4eace9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9110057",
    "kind": "arxiv",
    "version": 1
  }
}