Pith Number

pith:HRARSTA6

pith:2009:HRARSTA6A2YEYUTLXFZGVBT6F2

not attested not anchored not stored refs pending

Rank 2 stable sheaves with odd determinant on Fano threefolds of genus 9

Daniele Faenzi, Maria Chiara Brambilla

arxiv:0905.1803 v1 · 2009-05-12 · 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{HRARSTA6A2YEYUTLXFZGVBT6F2}

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	2026-05-18T02:38:59.733184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c41194c1e06b04c526bb9726a867e2ea2d8ce5c84db09ffa49ff277f7de7cc5

Aliases

arxiv: 0905.1803 · arxiv_version: 0905.1803v1 · doi: 10.48550/arxiv.0905.1803 · pith_short_12: HRARSTA6A2YE · pith_short_16: HRARSTA6A2YEYUTL · pith_short_8: HRARSTA6

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/HRARSTA6A2YEYUTLXFZGVBT6F2 \
  | 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: 3c41194c1e06b04c526bb9726a867e2ea2d8ce5c84db09ffa49ff277f7de7cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d3db6f9e988cbd9dc4f1fd733ff939dd5818a3f259c1855c50ba5905c98262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-05-12T16:29:36Z",
    "title_canon_sha256": "66e0a555517db241c9ca0f1f44918517eb78fc620abb30b4a0fa17227b16246d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1803",
    "kind": "arxiv",
    "version": 1
  }
}