Pith Number

pith:I6Q5PGK4

pith:2015:I6Q5PGK4I3M4CWK3N2OB33QVGI

not attested not anchored not stored refs pending

Generalized Zeta function representation of groups and 2-dimensional Topological Yang-Mills theory: The example of GL(2, F_q) and PGL(2, F_q)

Philippe Roche

arxiv:1512.03811 v1 · 2015-12-11 · math.RT · hep-th · math-ph · 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{I6Q5PGK4I3M4CWK3N2OB33QVGI}

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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	2026-05-18T01:16:44.732120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a1d7995c46d9c1595b6e9c1dee1532345b490c49e5bde7ee1becd1702eb5e1

Aliases

arxiv: 1512.03811 · arxiv_version: 1512.03811v1 · doi: 10.48550/arxiv.1512.03811 · pith_short_12: I6Q5PGK4I3M4 · pith_short_16: I6Q5PGK4I3M4CWK3 · pith_short_8: I6Q5PGK4

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/I6Q5PGK4I3M4CWK3N2OB33QVGI \
  | 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: 47a1d7995c46d9c1595b6e9c1dee1532345b490c49e5bde7ee1becd1702eb5e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14792d6020ca1fac3efc87efbf52e43bcee1b7af629469c3a9a82049e18763f5",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-11T11:13:36Z",
    "title_canon_sha256": "8550ec7dec1e2a315abb3f7f67b1b6717679da12d99aa821750c6a9bd2f495a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03811",
    "kind": "arxiv",
    "version": 1
  }
}