Pith Number

pith:L2SP7FQJ

pith:2015:L2SP7FQJCLUROZ6ZRQZVSMMBBP

not attested not anchored not stored refs pending

Giraud's Theorem and Categories of Representations

Renaud Gauthier

arxiv:1505.04463 v1 · 2015-05-17 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2SP7FQJCLUROZ6ZRQZVSMMBBP}

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	2026-05-18T02:07:25.389595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ea4ff960912e91767d98c335931810bfcf3233cbfe5ead19ec6266a45412837

Aliases

arxiv: 1505.04463 · arxiv_version: 1505.04463v1 · doi: 10.48550/arxiv.1505.04463 · pith_short_12: L2SP7FQJCLUR · pith_short_16: L2SP7FQJCLUROZ6Z · pith_short_8: L2SP7FQJ

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/L2SP7FQJCLUROZ6ZRQZVSMMBBP \
  | 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: 5ea4ff960912e91767d98c335931810bfcf3233cbfe5ead19ec6266a45412837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc8c3e63cc8dd94bd11683101756cb3d535b36824a32332aa637fa3d9d967b3",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-17T21:42:44Z",
    "title_canon_sha256": "1410a5b2c19f84671df3f2b8dfbdb457482e63ce79fe2792207a73e8e8866538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04463",
    "kind": "arxiv",
    "version": 1
  }
}