Pith Number

pith:BQQ4JDVR

pith:2011:BQQ4JDVRTCMFXUAR236WEJ32JL

not attested not anchored not stored refs pending

Group Fourier transform and the phase space path integral for finite dimensional Lie groups

Matti Raasakka

arxiv:1111.6481 v2 · 2011-11-28 · math-ph · gr-qc · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQQ4JDVRTCMFXUAR236WEJ32JL}

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	2026-05-18T04:06:35.240310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c21c48eb198985bd011d6fd62277a4ac58fc6a11befde62c5c07a2b6a5f5012

Aliases

arxiv: 1111.6481 · arxiv_version: 1111.6481v2 · doi: 10.48550/arxiv.1111.6481 · pith_short_12: BQQ4JDVRTCMF · pith_short_16: BQQ4JDVRTCMFXUAR · pith_short_8: BQQ4JDVR

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/BQQ4JDVRTCMFXUAR236WEJ32JL \
  | 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: 0c21c48eb198985bd011d6fd62277a4ac58fc6a11befde62c5c07a2b6a5f5012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f2330ce87b10eec7f8ffd3bef70ba9e1567e2ab0989851484413919b9ad61b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-28T15:52:51Z",
    "title_canon_sha256": "21be1230453c01d388d6e192311a835f005cde9b7b8c7283b60cc65cc3ecbfb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6481",
    "kind": "arxiv",
    "version": 2
  }
}