Pith Number

pith:JAKB3DYJ

pith:2000:JAKB3DYJVJ6SWGF6N7VMMOEUQK

not attested not anchored not stored refs pending

Homotopy field theory in dimension 3 and crossed group-categories

Vladimir Turaev

arxiv:math/0005291 v1 · 2000-05-31 · math.GT · 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{JAKB3DYJVJ6SWGF6N7VMMOEUQK}

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

Monodromy defects in Chern-Simons theory and Holography

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

Receipt and verification

First computed	2026-07-04T14:34:32.124626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48141d8f09aa7d2b18be6feac6389482addb872d6a75c97243459c2415456218

Aliases

arxiv: math/0005291 · arxiv_version: math/0005291v1 · doi: 10.48550/arxiv.math/0005291 · pith_short_12: JAKB3DYJVJ6S · pith_short_16: JAKB3DYJVJ6SWGF6 · pith_short_8: JAKB3DYJ

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/JAKB3DYJVJ6SWGF6N7VMMOEUQK \
  | 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: 48141d8f09aa7d2b18be6feac6389482addb872d6a75c97243459c2415456218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a69803a5bd649914fadcdd9daba07b8759e888f6eb519fbac8111faddbe5436",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-05-31T13:13:50Z",
    "title_canon_sha256": "de46c38bf38be8a179c629e27617cce8141d7e82419cc9cbe94462f5de3d81f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005291",
    "kind": "arxiv",
    "version": 1
  }
}