Pith Number

pith:6HIQISXZ

pith:2012:6HIQISXZATHZMTGRF3T2J7XKA4

not attested not anchored not stored refs pending

Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds

Hisashi Kasuya

arxiv:1204.1878 v2 · 2012-04-09 · 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{6HIQISXZATHZMTGRF3T2J7XKA4}

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	2026-05-18T02:57:53.655077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d1044af904cf964cd12ee7a4feea073073b00b165d9eaef72710c099d390a1

Aliases

arxiv: 1204.1878 · arxiv_version: 1204.1878v2 · doi: 10.48550/arxiv.1204.1878 · pith_short_12: 6HIQISXZATHZ · pith_short_16: 6HIQISXZATHZMTGR · pith_short_8: 6HIQISXZ

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/6HIQISXZATHZMTGRF3T2J7XKA4 \
  | 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: f1d1044af904cf964cd12ee7a4feea073073b00b165d9eaef72710c099d390a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0eaf13fa7a82893eb192308bfd10ced26b19d5f6b1ddb74582472a6796f237",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-09T13:52:42Z",
    "title_canon_sha256": "ec16ff2012ba504d04bfb6b6b6e3cec27f9f6505d08abe012e08fcb44d5b828b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1878",
    "kind": "arxiv",
    "version": 2
  }
}