Pith Number

pith:PAD34RY6

pith:2012:PAD34RY6Q4XQFIOHY2AH4H7P3I

not attested not anchored not stored refs pending

Kodaira dimension and zeros of holomorphic one-forms

Christian Schnell, Mihnea Popa

arxiv:1212.5714 v2 · 2012-12-22 · 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{PAD34RY6Q4XQFIOHY2AH4H7P3I}

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	2026-05-18T03:06:03.499280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7807be471e872f02a1c7c6807e1fefda1ccff1053b326be093586c56d0d34463

Aliases

arxiv: 1212.5714 · arxiv_version: 1212.5714v2 · doi: 10.48550/arxiv.1212.5714 · pith_short_12: PAD34RY6Q4XQ · pith_short_16: PAD34RY6Q4XQFIOH · pith_short_8: PAD34RY6

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/PAD34RY6Q4XQFIOHY2AH4H7P3I \
  | 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: 7807be471e872f02a1c7c6807e1fefda1ccff1053b326be093586c56d0d34463

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee7cbe9da00926880895eacedafd4d3d4bf6c0d036bc075f11f2a6e8c9b919f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-22T18:35:05Z",
    "title_canon_sha256": "6ee9e7595444f3fee246b8acda35a021a800d52a822524df2d9ee5b88e01897e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5714",
    "kind": "arxiv",
    "version": 2
  }
}