Pith Number

pith:GRN6S5C4

pith:2005:GRN6S5C4VFR4TPH5RUC32WQCPJ

not attested not anchored not stored refs pending

Galois coverings, Morita equivalence and smash extensions of categories over a field

Andrea Solotar, Claude Cibils (Institut de Math\'ematiques et de Mod\'elisation de Montpellier)

arxiv:math/0502308 v1 · 2005-02-15 · math.RA · math.CT · 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{GRN6S5C4VFR4TPH5RUC32WQCPJ}

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	2026-05-18T01:08:51.305255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345be9745ca963c9bcfd8d05bd5a027a6fa462963c0e82d720133fd27c50d60e

Aliases

arxiv: math/0502308 · arxiv_version: math/0502308v1 · doi: 10.48550/arxiv.math/0502308 · pith_short_12: GRN6S5C4VFR4 · pith_short_16: GRN6S5C4VFR4TPH5 · pith_short_8: GRN6S5C4

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/GRN6S5C4VFR4TPH5RUC32WQCPJ \
  | 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: 345be9745ca963c9bcfd8d05bd5a027a6fa462963c0e82d720133fd27c50d60e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8015e775f5076c2cf3d2df9ed0b464171de4d851853a725a955deae446027f29",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-02-15T12:44:57Z",
    "title_canon_sha256": "c84d75d81bed536d155e487a6858d383da55bdc8a8b1977f551a5ce752b6b361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502308",
    "kind": "arxiv",
    "version": 1
  }
}