Pith Number

pith:RYVRRBGV

pith:2009:RYVRRBGVFXKFRWSC2MJDIE3G3E

not attested not anchored not stored refs pending

Semi-homogeneous sheaves, Fourier-Mukai transforms and moduli of stable sheaves on abelian surfaces

Kota Yoshioka, Shintarou Yanagida

arxiv:0906.4603 v1 · 2009-06-25 · 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{RYVRRBGVFXKFRWSC2MJDIE3G3E}

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	2026-07-04T15:45:09.701239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e2b1884d52dd458da42d312341366d91e708aac6f1e984e396eac5d95550cae

Aliases

arxiv: 0906.4603 · arxiv_version: 0906.4603v1 · doi: 10.48550/arxiv.0906.4603 · pith_short_12: RYVRRBGVFXKF · pith_short_16: RYVRRBGVFXKFRWSC · pith_short_8: RYVRRBGV

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/RYVRRBGVFXKFRWSC2MJDIE3G3E \
  | 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: 8e2b1884d52dd458da42d312341366d91e708aac6f1e984e396eac5d95550cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa983be30ca7656b6eafe1d0b81acf12e82be7bbcacf121b6781f1bb20ed8f30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-25T04:55:41Z",
    "title_canon_sha256": "ed1de341380136ca625aac09a27c5e132699fece8e28c6f850c12f36565b0c37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4603",
    "kind": "arxiv",
    "version": 1
  }
}