Pith Number

pith:I5IYDONA

pith:2007:I5IYDONAB6U3GDH25K7PWIQVKF

not attested not anchored not stored refs pending

Morse-Novikov cohomology of locally conformally K\"ahler manifolds

Liviu Ornea, Misha Verbitsky

arxiv:0712.0107 v4 · 2007-12-01 · math.DG · 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{I5IYDONAB6U3GDH25K7PWIQVKF}

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	2026-05-18T02:16:08.847669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

475181b9a00fa9b30cfaeabefb22155156f52e7013f7664f3cd5eaa29abd508e

Aliases

arxiv: 0712.0107 · arxiv_version: 0712.0107v4 · doi: 10.48550/arxiv.0712.0107 · pith_short_12: I5IYDONAB6U3 · pith_short_16: I5IYDONAB6U3GDH2 · pith_short_8: I5IYDONA

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/I5IYDONAB6U3GDH25K7PWIQVKF \
  | 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: 475181b9a00fa9b30cfaeabefb22155156f52e7013f7664f3cd5eaa29abd508e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c344027192805d4f55c072e778ae3ecaaeba24a515a77a5975c277422c54602",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-12-01T21:17:30Z",
    "title_canon_sha256": "2ef19c7fedefb853502a6c775c9df65058a6803c1dc4e4a5ee59e67a378799af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.0107",
    "kind": "arxiv",
    "version": 4
  }
}