Pith Number

pith:YEXYEKFT

pith:2011:YEXYEKFTTXUCME6O367OS5QD56

not attested not anchored not stored refs pending

Techniques of computations of Dolbeault cohomology of solvmanifolds

Hisashi Kasuya

arxiv:1107.4761 v3 · 2011-07-24 · 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{YEXYEKFTTXUCME6O367OS5QD56}

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	2026-05-18T04:00:39.295613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12f8228b39de82613cedfbee97603efadfd83fa0f24daff68e4ecae79df4147

Aliases

arxiv: 1107.4761 · arxiv_version: 1107.4761v3 · doi: 10.48550/arxiv.1107.4761 · pith_short_12: YEXYEKFTTXUC · pith_short_16: YEXYEKFTTXUCME6O · pith_short_8: YEXYEKFT

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/YEXYEKFTTXUCME6O367OS5QD56 \
  | 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: c12f8228b39de82613cedfbee97603efadfd83fa0f24daff68e4ecae79df4147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "499e2a75c241323134743760a6f48d8d088784d8de9988539f2e8b67a8fe1581",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-07-24T15:10:57Z",
    "title_canon_sha256": "d9ab75860bd4967360e347fb31cb90420c5613c3b5d3963f8030c1861cc66596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4761",
    "kind": "arxiv",
    "version": 3
  }
}