Pith Number

pith:CYI3TITB

pith:2018:CYI3TITBWKRSHZ4QA6AKMT5B4S

not attested not anchored not stored refs pending

Dolbeault cohomology of complex nilmanifolds foliated in toroidal groups

Anna Fino, Jean Ruppenthal, S\"onke Rollenske

arxiv:1808.08090 v1 · 2018-08-24 · math.DG · 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{CYI3TITBWKRSHZ4QA6AKMT5B4S}

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	2026-05-18T00:07:22.463662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1611b9a261b2a323e7900780a64fa1e4ae4f4bb7ef21ccbb25da47c97e144ca5

Aliases

arxiv: 1808.08090 · arxiv_version: 1808.08090v1 · doi: 10.48550/arxiv.1808.08090 · pith_short_12: CYI3TITBWKRS · pith_short_16: CYI3TITBWKRSHZ4Q · pith_short_8: CYI3TITB

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/CYI3TITBWKRSHZ4QA6AKMT5B4S \
  | 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: 1611b9a261b2a323e7900780a64fa1e4ae4f4bb7ef21ccbb25da47c97e144ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6aede90dfca75e3d0aa5de17674ba2c30b2fbfbd6ff6d436d029a11919452f5",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-24T11:20:45Z",
    "title_canon_sha256": "c3425f2d5257adc4e5a3ddbe94a1cbff16a78cab799729ff802c5895300b1a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08090",
    "kind": "arxiv",
    "version": 1
  }
}