Pith Number

pith:FV3BJYQO

pith:2011:FV3BJYQOAKO7VJAIRQMBR7GESP

not attested not anchored not stored refs pending

On Hirzebruch invariants of elliptic fibrations

James Fullwood, Mark van Hoeij

arxiv:1111.0017 v2 · 2011-10-31 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV3BJYQOAKO7VJAIRQMBR7GESP}

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	2026-05-18T03:57:12.711953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7614e20e029dfaa4088c1818fcc493f02650a1f3be8924d75f10f5e5ae66a7

Aliases

arxiv: 1111.0017 · arxiv_version: 1111.0017v2 · doi: 10.48550/arxiv.1111.0017 · pith_short_12: FV3BJYQOAKO7 · pith_short_16: FV3BJYQOAKO7VJAI · pith_short_8: FV3BJYQO

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/FV3BJYQOAKO7VJAIRQMBR7GESP \
  | 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: 2d7614e20e029dfaa4088c1818fcc493f02650a1f3be8924d75f10f5e5ae66a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d6b706ff51a5aabbb8178257a7fd118e03b5b4bc67f25ef28a2e06c74a608f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-31T20:00:09Z",
    "title_canon_sha256": "8086a38d4f6e02e7db49cf90427faa41a5f53ab08a46ed0f91008621163a1fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0017",
    "kind": "arxiv",
    "version": 2
  }
}