Pith Number

pith:I242SL7G

pith:2005:I242SL7GV5PFWQTKXPAU4VBEQI

not attested not anchored not stored refs pending

Noncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in 2+1 Quantum Gravity

L. Freidel, S. Majid

arxiv:hep-th/0601004 v3 · 2005-12-30 · hep-th · gr-qc · 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{I242SL7GV5PFWQTKXPAU4VBEQI}

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	2026-07-04T15:26:05.771864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b9a92fe6af5e5b426abbc14e54248233f69169442f5ef15e6fdb028a553e68

Aliases

arxiv: hep-th/0601004 · arxiv_version: hep-th/0601004v3 · doi: 10.48550/arxiv.hep-th/0601004 · pith_short_12: I242SL7GV5PF · pith_short_16: I242SL7GV5PFWQTK · pith_short_8: I242SL7G

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/I242SL7GV5PFWQTKXPAU4VBEQI \
  | 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: 46b9a92fe6af5e5b426abbc14e54248233f69169442f5ef15e6fdb028a553e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b301f71fc79b26da352b2284ac97fb05d9416247b9874ce4117ac91bfeeaf242",
    "cross_cats_sorted": [
      "gr-qc",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-12-30T21:03:31Z",
    "title_canon_sha256": "93331c481f7d91f91419373618609baa567ee1886f13cce011ff1e077cd53e4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0601004",
    "kind": "arxiv",
    "version": 3
  }
}