Pith Number

pith:OGA2CCBN

pith:2012:OGA2CCBNGZJNMEINJVSZCU75YC

not attested not anchored not stored refs pending

Two-dimensional moduli spaces of vector bundles over Kodaira surfaces

Marian Aprodu, Matei Toma, Ruxandra Moraru

arxiv:1207.1972 v1 · 2012-07-09 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGA2CCBNGZJNMEINJVSZCU75YC}

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	2026-05-18T03:07:02.179293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7181a1082d3652d6110d4d659153fdc0b32386f9cc4e35ba3cd56d260453f01c

Aliases

arxiv: 1207.1972 · arxiv_version: 1207.1972v1 · doi: 10.48550/arxiv.1207.1972 · pith_short_12: OGA2CCBNGZJN · pith_short_16: OGA2CCBNGZJNMEIN · pith_short_8: OGA2CCBN

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/OGA2CCBNGZJNMEINJVSZCU75YC \
  | 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: 7181a1082d3652d6110d4d659153fdc0b32386f9cc4e35ba3cd56d260453f01c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10665f98c02114d41f0fcd94d2c82269d5143410221a646d3e83612bb2ab134e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-09T07:37:10Z",
    "title_canon_sha256": "5c85b48ca6adc50cdf37377522cc8ddd3d5e97d27d7603ed93be4090d57784a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1972",
    "kind": "arxiv",
    "version": 1
  }
}