Pith Number

pith:PAL62ZOG

pith:2012:PAL62ZOG3OKBN6GPK2PA5QGDRG

not attested not anchored not stored refs pending

de Rham and Dolbeault Cohomology of solvmanifolds with local systems

Hisashi Kasuya

arxiv:1207.3988 v3 · 2012-07-17 · 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{PAL62ZOG3OKBN6GPK2PA5QGDRG}

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	2026-05-18T02:38:17.721553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7817ed65c6db9416f8cf569e0ec0c389b2812af1165ddc89c254c1bc4d3ecb7e

Aliases

arxiv: 1207.3988 · arxiv_version: 1207.3988v3 · doi: 10.48550/arxiv.1207.3988 · pith_short_12: PAL62ZOG3OKB · pith_short_16: PAL62ZOG3OKBN6GP · pith_short_8: PAL62ZOG

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/PAL62ZOG3OKBN6GPK2PA5QGDRG \
  | 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: 7817ed65c6db9416f8cf569e0ec0c389b2812af1165ddc89c254c1bc4d3ecb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771bd888ba4393067de072117a3d1a8e5203e96d1a00134fb21655a6efbabb39",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-17T13:38:41Z",
    "title_canon_sha256": "7bb5ab02c37ec17b275b17637b40a92c96c255797f54011f9188f1cf84c0a044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3988",
    "kind": "arxiv",
    "version": 3
  }
}