Pith Number

pith:ZHFA77IX

pith:2019:ZHFA77IXH3D6S27PV7OJOFCXUQ

not attested not anchored not stored refs pending

Dolbeault cohomology of complex manifolds with torus action

Roman Krutowski, Taras Panov

arxiv:1908.06356 v4 · 2019-08-18 · math.DG · math.AG · math.AT · 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{ZHFA77IXH3D6S27PV7OJOFCXUQ}

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	2026-07-05T03:10:36.373613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ca0ffd173ec7e96befafdc971457a42ffef8976d9d159d5d28e90a20bea432

Aliases

arxiv: 1908.06356 · arxiv_version: 1908.06356v4 · doi: 10.48550/arxiv.1908.06356 · pith_short_12: ZHFA77IXH3D6 · pith_short_16: ZHFA77IXH3D6S27P · pith_short_8: ZHFA77IX

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/ZHFA77IXH3D6S27PV7OJOFCXUQ \
  | 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: c9ca0ffd173ec7e96befafdc971457a42ffef8976d9d159d5d28e90a20bea432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1ebce79ba219bfb496d7fa24a244474517134c6b87e7d2f3402ca3058b2d65",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-18T01:03:31Z",
    "title_canon_sha256": "4115081707791b8e18cc3b16ae06ad2e09ea157f3af01243768d15bbff9ce2b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06356",
    "kind": "arxiv",
    "version": 4
  }
}