Pith Number

pith:J73IAWUK

pith:2014:J73IAWUK5RG3FZ6SJZG2XJ2K6X

not attested not anchored not stored refs pending

Haag duality for Kitaev's quantum double model for abelian groups

Leander Fiedler, Pieter Naaijkens

arxiv:1406.1084 v2 · 2014-06-04 · math-ph · math.MP · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J73IAWUK5RG3FZ6SJZG2XJ2K6X}

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	2026-05-18T01:15:39.072388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff6805a8aec4db2e7d24e4daba74af5da2da8fa445d6174ec27e11d9c86155c

Aliases

arxiv: 1406.1084 · arxiv_version: 1406.1084v2 · doi: 10.48550/arxiv.1406.1084 · pith_short_12: J73IAWUK5RG3 · pith_short_16: J73IAWUK5RG3FZ6S · pith_short_8: J73IAWUK

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/J73IAWUK5RG3FZ6SJZG2XJ2K6X \
  | 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: 4ff6805a8aec4db2e7d24e4daba74af5da2da8fa445d6174ec27e11d9c86155c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aab23346cfa48483cb93be4828f3127081eaaf508208586cec23c42023e9624",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-04T15:57:14Z",
    "title_canon_sha256": "84eb649a84154d34bba9b03e050fff727d849337e9caf4a6b07ea02f2e8f545d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1084",
    "kind": "arxiv",
    "version": 2
  }
}