Pith Number

pith:TCXXPXRY

pith:1994:TCXXPXRYN3SXNTWG5Y4E5BVYII

not attested not anchored not stored refs pending

Four dimensional topological quantum field theory, Hopf categories, and the canonical bases

Igor B. Frenkel, Louis Crane

arxiv:hep-th/9405183 v3 · 1994-05-27 · 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{TCXXPXRYN3SXNTWG5Y4E5BVYII}

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

4 papers in Pith

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Receipt and verification

First computed	2026-07-04T15:57:45.785934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98af77de386ee576cec6ee384e86b842072b2fcac38ac92a807440ecd870e466

Aliases

arxiv: hep-th/9405183 · arxiv_version: hep-th/9405183v3 · doi: 10.48550/arxiv.hep-th/9405183 · pith_short_12: TCXXPXRYN3SX · pith_short_16: TCXXPXRYN3SXNTWG · pith_short_8: TCXXPXRY

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/TCXXPXRYN3SXNTWG5Y4E5BVYII \
  | 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: 98af77de386ee576cec6ee384e86b842072b2fcac38ac92a807440ecd870e466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2fab2b68b727da6348466f853c70ea5ef3b776e69e61f369dae549d96300ef8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-05-27T18:19:40Z",
    "title_canon_sha256": "283d2b8f8b3fd62ebdd305d5ecf1c3d41e2c80c16d189a4c036d916357b92f7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9405183",
    "kind": "arxiv",
    "version": 3
  }
}