Pith Number

pith:ZFDW45UO

pith:2010:ZFDW45UOCXQOUMOC7LNTMT6Z4E

not attested not anchored not stored refs pending

Cohomologically symplectic solvmanifolds are symplectic

Hisashi Kasuya

arxiv:1005.1157 v3 · 2010-05-07 · math.SG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZFDW45UOCXQOUMOC7LNTMT6Z4E}

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	2026-05-18T04:00:39.537108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9476e768e15e0ea31c2fadb364fd9e10ca1a533fb7d14c5621896a7801f8e94

Aliases

arxiv: 1005.1157 · arxiv_version: 1005.1157v3 · doi: 10.48550/arxiv.1005.1157 · pith_short_12: ZFDW45UOCXQO · pith_short_16: ZFDW45UOCXQOUMOC · pith_short_8: ZFDW45UO

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/ZFDW45UOCXQOUMOC7LNTMT6Z4E \
  | 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: c9476e768e15e0ea31c2fadb364fd9e10ca1a533fb7d14c5621896a7801f8e94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea92d5a3bda96880682cd7171ba82562c1ebe7f055fdf54f5379bf4be4faf70",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-05-07T08:58:17Z",
    "title_canon_sha256": "81da29937b6dc9fc03a56c949f4651173d6dc831bb77fcc29d16e886a2ef6544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1157",
    "kind": "arxiv",
    "version": 3
  }
}