Pith Number

pith:WL5ISN65

pith:2012:WL5ISN65PWI2ACMXEBNG7QBYLP

not attested not anchored not stored refs pending

Quantum Fourier Transforms and the Complexity of Link Invariants for Quantum Doubles of Finite Groups

Alexander Russell, Hari Krovi

arxiv:1210.1550 v2 · 2012-10-04 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WL5ISN65PWI2ACMXEBNG7QBYLP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:37:08.212390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2fa8937dd7d91a00997205a6fc0385bdf456673afcf133b830cec5e281f7449

Aliases

arxiv: 1210.1550 · arxiv_version: 1210.1550v2 · doi: 10.48550/arxiv.1210.1550 · pith_short_12: WL5ISN65PWI2 · pith_short_16: WL5ISN65PWI2ACMX · pith_short_8: WL5ISN65

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/WL5ISN65PWI2ACMXEBNG7QBYLP \
  | 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: b2fa8937dd7d91a00997205a6fc0385bdf456673afcf133b830cec5e281f7449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16c086c9aa97ba0775b952fc74af8948d3fb1658dcfb3931c8e451db7ae1e08c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-04T19:21:59Z",
    "title_canon_sha256": "0bf75781a133851829d6d5e65dbc813694c1e936e32b85fc8677d9268056fb9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1550",
    "kind": "arxiv",
    "version": 2
  }
}