Pith Number

pith:Z74M2ASZ

pith:2012:Z74M2ASZWP2G27OKY35XZ5M3LO

not attested not anchored not stored refs pending

Exceptional collections of line bundles on projective homogeneous varieties

Alexey Ananyevskiy, Asher Auel, Kirill Zainoulline, Skip Garibaldi

arxiv:1207.3334 v1 · 2012-07-13 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z74M2ASZWP2G27OKY35XZ5M3LO}

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	2026-05-18T02:49:46.214395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff8cd0259b3f46d7dcac6fb7cf59b5b8901081014dbf4a09e9fa9eed4fc44a8

Aliases

arxiv: 1207.3334 · arxiv_version: 1207.3334v1 · doi: 10.48550/arxiv.1207.3334 · pith_short_12: Z74M2ASZWP2G · pith_short_16: Z74M2ASZWP2G27OK · pith_short_8: Z74M2ASZ

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/Z74M2ASZWP2G27OKY35XZ5M3LO \
  | 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: cff8cd0259b3f46d7dcac6fb7cf59b5b8901081014dbf4a09e9fa9eed4fc44a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ece237f82162c7c229a41b46a3a0ed904ecec4697338556116ee96bbf85ff32f",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-13T19:17:18Z",
    "title_canon_sha256": "e5a651e9437ad438d40455dff683118bb6db7f06ff68c14b7cbdd2b54e621580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3334",
    "kind": "arxiv",
    "version": 1
  }
}