Pith Number

pith:QFLGWZ54

pith:2009:QFLGWZ546KEKXCNJO4PJDZN6AZ

not attested not anchored not stored refs pending

Fibrations of genus two on complex surfaces

Bianca Santoro, Julio C. Rebelo

arxiv:0902.0944 v3 · 2009-02-05 · 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{QFLGWZ546KEKXCNJO4PJDZN6AZ}

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	2026-05-18T03:56:24.597936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81566b67bcf288ab89a9771e91e5be066a34ee1930b770373bf216adbad66962

Aliases

arxiv: 0902.0944 · arxiv_version: 0902.0944v3 · doi: 10.48550/arxiv.0902.0944 · pith_short_12: QFLGWZ546KEK · pith_short_16: QFLGWZ546KEKXCNJ · pith_short_8: QFLGWZ54

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/QFLGWZ546KEKXCNJO4PJDZN6AZ \
  | 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: 81566b67bcf288ab89a9771e91e5be066a34ee1930b770373bf216adbad66962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e50a1d820ba4aff97d3c9a954ad75a64ae01771fc78ac963831a012cb6058b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-02-05T17:19:57Z",
    "title_canon_sha256": "1a1297dbd30791c4403cbc485d3fd7a79a3eae299f8dc3d634dc888a3d911c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0944",
    "kind": "arxiv",
    "version": 3
  }
}