Pith Number

pith:F2F4P63G

pith:2011:F2F4P63GT4TUVA2DRQWR7ZD6XK

not attested not anchored not stored refs pending

Spherical Fourier Transforms on Locally Compact Quantum Gelfand Pairs

Martijn Caspers

arxiv:1104.2459 v2 · 2011-04-13 · math.OA · 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{F2F4P63GT4TUVA2DRQWR7ZD6XK}

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	2026-05-18T04:14:05.790186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e8bc7fb669f274a83438c2d1fe47eba94c576e58bbbc4998c92e73b64285ed8

Aliases

arxiv: 1104.2459 · arxiv_version: 1104.2459v2 · doi: 10.48550/arxiv.1104.2459 · pith_short_12: F2F4P63GT4TU · pith_short_16: F2F4P63GT4TUVA2D · pith_short_8: F2F4P63G

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/F2F4P63GT4TUVA2DRQWR7ZD6XK \
  | 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: 2e8bc7fb669f274a83438c2d1fe47eba94c576e58bbbc4998c92e73b64285ed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b29b38d3ece375d2be0ccaa65101d24b3d8b3bf6d5b5325754363e37c3194a7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-04-13T12:03:38Z",
    "title_canon_sha256": "12668150572a5b665883e77431c498f8ba5b2e3e685b920dedb185e88f7a73c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2459",
    "kind": "arxiv",
    "version": 2
  }
}