Pith Number

pith:5POE4566

pith:2012:5POE45662J2DL2P6VLWR5X7H7G

not attested not anchored not stored refs pending

Biharmonic Lagrangian submanifolds in K\"ahler manifolds

Hajime Urakawa, Shun Maeta

arxiv:1203.4092 v2 · 2012-03-19 · 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{5POE45662J2DL2P6VLWR5X7H7G}

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	2026-05-18T03:58:24.155514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdc4e77ded27435e9feaaed1edfe7f9bb7d11bedc927173947827246a8ad3d4

Aliases

arxiv: 1203.4092 · arxiv_version: 1203.4092v2 · doi: 10.48550/arxiv.1203.4092 · pith_short_12: 5POE45662J2D · pith_short_16: 5POE45662J2DL2P6 · pith_short_8: 5POE4566

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/5POE45662J2DL2P6VLWR5X7H7G \
  | 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: ebdc4e77ded27435e9feaaed1edfe7f9bb7d11bedc927173947827246a8ad3d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6b87717e9fc4c2c61215c39bb4971a39c6bdcd028b40fc09236ecb16b881bf2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-19T12:38:11Z",
    "title_canon_sha256": "fcbecf95b9696373b08d1d248ce27ca752086eb4b598576bc2852c956de91ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4092",
    "kind": "arxiv",
    "version": 2
  }
}