Pith Number

pith:LZU2POTH

pith:2013:LZU2POTHGNPFRRQ3FYSQWNVNQO

not attested not anchored not stored refs pending

Sasaki manifolds, Kaehler cone manifolds and biharmonic submanifolds

Hajime Urakawa

arxiv:1306.6123 v2 · 2013-06-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LZU2POTHGNPFRRQ3FYSQWNVNQO}

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	2026-05-18T03:19:00.873992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e69a7ba67335e58c61b2e250b36ad83972eb1f1369943a3855de32b9cb513e4

Aliases

arxiv: 1306.6123 · arxiv_version: 1306.6123v2 · doi: 10.48550/arxiv.1306.6123 · pith_short_12: LZU2POTHGNPF · pith_short_16: LZU2POTHGNPFRRQ3 · pith_short_8: LZU2POTH

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/LZU2POTHGNPFRRQ3FYSQWNVNQO \
  | 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: 5e69a7ba67335e58c61b2e250b36ad83972eb1f1369943a3855de32b9cb513e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c972a3bbd938d442fecf9bfed6fcc8096a5215a2bb27b064c121c8ac4da90b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-26T03:07:39Z",
    "title_canon_sha256": "ad695383d15b9d2f096c70a6c0235fb26ee5de4c97b41d27d8c66ac717ac3fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6123",
    "kind": "arxiv",
    "version": 2
  }
}