Pith Number

pith:BPY5YFYY

pith:2006:BPY5YFYYQXIPDW4FKLSLRRNN4I

not attested not anchored not stored refs pending

Homological projective duality for Grassmannians of lines

Alexander Kuznetsov

arxiv:math/0610957 v1 · 2006-10-31 · 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{BPY5YFYYQXIPDW4FKLSLRRNN4I}

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

The Lichtenbaum-Quillen dimension of complex varieties

Receipt and verification

First computed	2026-07-04T14:57:11.837220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf1dc171885d0f1db8552e4b8c5ade2059e6f0832b3dc11bc5ce64a2ad8b85a

Aliases

arxiv: math/0610957 · arxiv_version: math/0610957v1 · doi: 10.48550/arxiv.math/0610957 · pith_short_12: BPY5YFYYQXIP · pith_short_16: BPY5YFYYQXIPDW4F · pith_short_8: BPY5YFYY

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/BPY5YFYYQXIPDW4FKLSLRRNN4I \
  | 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: 0bf1dc171885d0f1db8552e4b8c5ade2059e6f0832b3dc11bc5ce64a2ad8b85a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28bfc805a15455952ff4a709fb8c5678a93868494eb52215856e6387459d637",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-10-31T05:37:40Z",
    "title_canon_sha256": "e31346ea283ea15e0815192308a5d8c8a00e502ea497c485d11ede903e7446df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610957",
    "kind": "arxiv",
    "version": 1
  }
}