Pith Number

pith:AL3GWFFU

pith:2011:AL3GWFFUG42WERWFGC2X37U2UF

not attested not anchored not stored refs pending

Multiple cover formula of generalized DT invariants I: parabolic stable pairs

Yukinobu Toda

arxiv:1108.4992 v1 · 2011-08-25 · 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{AL3GWFFUG42WERWFGC2X37U2UF}

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	2026-05-18T04:14:45.654728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f66b14b437356246c530b57dfe9aa17775e0db7b2c4ade8a986c81cd6e1836

Aliases

arxiv: 1108.4992 · arxiv_version: 1108.4992v1 · doi: 10.48550/arxiv.1108.4992 · pith_short_12: AL3GWFFUG42W · pith_short_16: AL3GWFFUG42WERWF · pith_short_8: AL3GWFFU

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/AL3GWFFUG42WERWFGC2X37U2UF \
  | 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: 02f66b14b437356246c530b57dfe9aa17775e0db7b2c4ade8a986c81cd6e1836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0340093d15f0537a07dfa17d50ea174f951ec4364a489bfd330a92fd924270",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-25T02:10:06Z",
    "title_canon_sha256": "f5830a3f344564d478a86f06ad89a2c0efbfec817ca29fff6205d3854b998026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4992",
    "kind": "arxiv",
    "version": 1
  }
}