Pith Number

pith:GH4DFFM3

pith:2002:GH4DFFM36EBYGEU2X6D35NARQJ

not attested not anchored not stored refs pending

Any compact group is a gauge group

Gherardo Piacitelli, Sergio Doplicher

arxiv:hep-th/0204230 v2 · 2002-04-26 · hep-th · math-ph · math.MP · math.OA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GH4DFFM36EBYGEU2X6D35NARQJ}

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	2026-05-18T01:05:59.582059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f832959bf10383129abf87beb411825d20cbabdcaf07b5bddf533bfe2e8272

Aliases

arxiv: hep-th/0204230 · arxiv_version: hep-th/0204230v2 · doi: 10.48550/arxiv.hep-th/0204230 · pith_short_12: GH4DFFM36EBY · pith_short_16: GH4DFFM36EBYGEU2 · pith_short_8: GH4DFFM3

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/GH4DFFM36EBYGEU2X6D35NARQJ \
  | 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: 31f832959bf10383129abf87beb411825d20cbabdcaf07b5bddf533bfe2e8272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66029154c90f1fb61225f73c0a8a91f3d4fb08b438da09c264186bce576312a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-04-26T18:55:14Z",
    "title_canon_sha256": "71c200a1f80747b05a0b42d2206874e66f81a17b6abfef11cfa729629cbd3e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0204230",
    "kind": "arxiv",
    "version": 2
  }
}