Pith Number

pith:IVFFORGP

pith:2009:IVFFORGPW4Y3G36UVNHFDHKX6O

not attested not anchored not stored refs pending

Curve counting theories via stable objects II: DT/ncDT flop formula

Yukinobu Toda

arxiv:0909.5129 v3 · 2009-09-28 · 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{IVFFORGPW4Y3G36UVNHFDHKX6O}

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	2026-05-18T04:11:52.023960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454a5744cfb731b36fd4ab4e519d57f3b6051a935cb198e331853a4cd3470408

Aliases

arxiv: 0909.5129 · arxiv_version: 0909.5129v3 · doi: 10.48550/arxiv.0909.5129 · pith_short_12: IVFFORGPW4Y3 · pith_short_16: IVFFORGPW4Y3G36U · pith_short_8: IVFFORGP

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/IVFFORGPW4Y3G36UVNHFDHKX6O \
  | 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: 454a5744cfb731b36fd4ab4e519d57f3b6051a935cb198e331853a4cd3470408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a8bb4a7f9884b6aa3a7f89fbe326ac62cb62cbef3598a99b8950c0f0e724f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-28T15:53:02Z",
    "title_canon_sha256": "387c850a0739274acdeaee67e5e739ac42bf986f5e8acc0e5f0280c9944edba3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5129",
    "kind": "arxiv",
    "version": 3
  }
}