Pith Number

pith:UKYQU3RF

pith:2007:UKYQU3RFOP2XOFIWJ5GEM7NGAD

not attested not anchored not stored refs pending

Fourier analysis on the affine group, quantization and noncompact Connes geometries

Jose M. Gracia-Bondia, Joseph C. Varilly, Victor Gayral

arxiv:0705.3511 v3 · 2007-05-24 · hep-th · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKYQU3RFOP2XOFIWJ5GEM7NGAD}

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	2026-05-18T04:35:46.423496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2b10a6e2573f57715164f4c467da600f96a9a03157ada673015798dfe78858a

Aliases

arxiv: 0705.3511 · arxiv_version: 0705.3511v3 · doi: 10.48550/arxiv.0705.3511 · pith_short_12: UKYQU3RFOP2X · pith_short_16: UKYQU3RFOP2XOFIW · pith_short_8: UKYQU3RF

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/UKYQU3RFOP2XOFIWJ5GEM7NGAD \
  | 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: a2b10a6e2573f57715164f4c467da600f96a9a03157ada673015798dfe78858a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a4a41737cee1d3ff2c54ff1857952a2a4cbc5feb174c58f4059300b1c222975",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-05-24T06:08:13Z",
    "title_canon_sha256": "fabb33cc143d28ca10ca009f9c57f923f4a9c5199c453a19b2d564c649fb71f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3511",
    "kind": "arxiv",
    "version": 3
  }
}