Pith Number

pith:P3RW6N64

pith:2011:P3RW6N64BUZU5RQROULWVSEBQW

not attested not anchored not stored refs pending

Hodge symmetry and decomposition on non-K\"ahler solvmanifolds

Hisashi Kasuya

arxiv:1109.5929 v5 · 2011-09-27 · 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{P3RW6N64BUZU5RQROULWVSEBQW}

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	2026-05-18T03:27:23.282722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee36f37dc0d334ec61175176ac88185a0b7fb7122ea82b4b530160c9d50d38c

Aliases

arxiv: 1109.5929 · arxiv_version: 1109.5929v5 · doi: 10.48550/arxiv.1109.5929 · pith_short_12: P3RW6N64BUZU · pith_short_16: P3RW6N64BUZU5RQR · pith_short_8: P3RW6N64

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/P3RW6N64BUZU5RQROULWVSEBQW \
  | 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: 7ee36f37dc0d334ec61175176ac88185a0b7fb7122ea82b4b530160c9d50d38c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923c0a5ccf9b560fea312f63445ba094aac75586307aab3046c7889edcfdb036",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-27T15:13:43Z",
    "title_canon_sha256": "3be94d396397fb3232dd2056fd0ad63f7424d82f58ea56179442d8a28cbda5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5929",
    "kind": "arxiv",
    "version": 5
  }
}