Pith Number

pith:K3BVMMBN

pith:2002:K3BVMMBN6BI6FNXNV3QN2NX4YY

not attested not anchored not stored refs pending

On the Structure of Modular Categories

Michael Mueger

arxiv:math/0201017 v1 · 2002-01-03 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3BVMMBN6BI6FNXNV3QN2NX4YY}

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

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders

Receipt and verification

First computed	2026-07-04T14:35:50.758391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c356302df051e2b6edaee0dd36fcc609b9d1013be84457637259fc560e8834

Aliases

arxiv: math/0201017 · arxiv_version: math/0201017v1 · doi: 10.48550/arxiv.math/0201017 · pith_short_12: K3BVMMBN6BI6 · pith_short_16: K3BVMMBN6BI6FNXN · pith_short_8: K3BVMMBN

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/K3BVMMBN6BI6FNXNV3QN2NX4YY \
  | 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: 56c356302df051e2b6edaee0dd36fcc609b9d1013be84457637259fc560e8834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06902a360c1ac3fe82a9907ec96258703ac3fbe22086a190d2f411e6ba7fc06c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2002-01-03T16:59:50Z",
    "title_canon_sha256": "0374e52e1e9c835ce268942deaaa7c2635430b67d9f24b059ec94f4e6bdb47e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201017",
    "kind": "arxiv",
    "version": 1
  }
}