Pith Number

pith:QW7GQAJ2

pith:2011:QW7GQAJ2SVS6NVT4VLBRKMPGC2

not attested not anchored not stored refs pending

Ind-coherent sheaves

Dennis Gaitsgory

arxiv:1105.4857 v7 · 2011-05-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QW7GQAJ2SVS6NVT4VLBRKMPGC2}

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.

Cited by

1 paper in Pith

Semiorthogonal decompositions for stacks

Receipt and verification

First computed	2026-05-18T03:45:01.111810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85be68013a9565e6d67caac31531e616b0c9ae6c403461eaf28858de579c7d43

Aliases

arxiv: 1105.4857 · arxiv_version: 1105.4857v7 · doi: 10.48550/arxiv.1105.4857 · pith_short_12: QW7GQAJ2SVS6 · pith_short_16: QW7GQAJ2SVS6NVT4 · pith_short_8: QW7GQAJ2

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/QW7GQAJ2SVS6NVT4VLBRKMPGC2 \
  | 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: 85be68013a9565e6d67caac31531e616b0c9ae6c403461eaf28858de579c7d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c770d800b7e19406f4dca48b1011c8cdc620424b70ce3bc99a83a7ab3e243432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-24T19:13:28Z",
    "title_canon_sha256": "04efea2c80a40a109362740b276205dc62df69c582c4124d96536b948c841062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4857",
    "kind": "arxiv",
    "version": 7
  }
}