Pith Number

pith:5YTGRXIW

pith:1993:5YTGRXIWX3JCDHRRAXLTCZJFMR

not attested not anchored not stored refs pending

Structure of Topological Lattice Field Theories in Three Dimensions

Alfred Shapere, Masafumi Fukuma, Stephen-wei Chung

arxiv:hep-th/9305080 v2 · 1993-05-19 · 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{5YTGRXIWX3JCDHRRAXLTCZJFMR}

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

ADE triality via (non-)invertible symmetry gauging

Receipt and verification

First computed	2026-07-04T15:56:13.711567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2668dd16bed2219e3105d7316525646aff0bb0be57df5212f5bc5df8cf3225

Aliases

arxiv: hep-th/9305080 · arxiv_version: hep-th/9305080v2 · doi: 10.48550/arxiv.hep-th/9305080 · pith_short_12: 5YTGRXIWX3JC · pith_short_16: 5YTGRXIWX3JCDHRR · pith_short_8: 5YTGRXIW

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/5YTGRXIWX3JCDHRRAXLTCZJFMR \
  | 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: ee2668dd16bed2219e3105d7316525646aff0bb0be57df5212f5bc5df8cf3225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf604cd9e29937c44059b8afeb04c187d5c74dca71d4849d283e1afb857302f5",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-05-19T01:20:08Z",
    "title_canon_sha256": "cb5e6b6a7d9f34831ad7266b2ecfc6bb89eb4534d1d6cf72ced67f6d97faae60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9305080",
    "kind": "arxiv",
    "version": 2
  }
}