Pith Number

pith:R4IUP7A7

pith:2011:R4IUP7A7I3QFNZZ7SBKUE3HCR3

not attested not anchored not stored refs pending

On some finiteness questions for algebraic stacks

Dennis Gaitsgory, Vladimir Drinfeld

arxiv:1108.5351 v3 · 2011-08-26 · math.AG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4IUP7A7I3QFNZZ7SBKUE3HCR3}

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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.

Cited by

1 paper in Pith

Semiorthogonal decompositions for stacks

Receipt and verification

First computed	2026-05-18T03:42:21.556736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1147fc1f46e056e73f9055426ce28efae8454db3de9e3a3ffd4cdd4db27b84

Aliases

arxiv: 1108.5351 · arxiv_version: 1108.5351v3 · doi: 10.48550/arxiv.1108.5351 · pith_short_12: R4IUP7A7I3QF · pith_short_16: R4IUP7A7I3QFNZZ7 · pith_short_8: R4IUP7A7

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/R4IUP7A7I3QFNZZ7SBKUE3HCR3 \
  | 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: 8f1147fc1f46e056e73f9055426ce28efae8454db3de9e3a3ffd4cdd4db27b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d7905c3ec1cea168b0b7570e08bea8291dce26b04c62d2a69baa09c10067f1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-26T16:42:38Z",
    "title_canon_sha256": "4f85d8e61063f595abfaad9795a420a553ca000ca4456a9ecc20c0a1a3944bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5351",
    "kind": "arxiv",
    "version": 3
  }
}