Pith Number

pith:W4EGEE7A

pith:2004:W4EGEE7AHRTVBE5OKDQVNM55ZG

not attested not anchored not stored refs pending

Hamiltonian-minimal Lagrangian submanifolds in complex space forms

Francisco Urbano, Haizhong Li, Ildefonso Castro

arxiv:math/0412046 v1 · 2004-12-02 · 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{W4EGEE7AHRTVBE5OKDQVNM55ZG}

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	2026-05-18T03:39:17.158377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7086213e03c675093ae50e156b3bdc9bdab9502477000770840606987913ad4

Aliases

arxiv: math/0412046 · arxiv_version: math/0412046v1 · doi: 10.48550/arxiv.math/0412046 · pith_short_12: W4EGEE7AHRTV · pith_short_16: W4EGEE7AHRTVBE5O · pith_short_8: W4EGEE7A

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/W4EGEE7AHRTVBE5OKDQVNM55ZG \
  | 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: b7086213e03c675093ae50e156b3bdc9bdab9502477000770840606987913ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01266606f9cdd5e8657ef8c83910c6efdd6f0bd55e3585737476d71b0f0ad6b3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-12-02T09:06:28Z",
    "title_canon_sha256": "be2150f231657025d0f9a1973ea06d2ec29a07107ff2461ac3fb9b949666dd74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412046",
    "kind": "arxiv",
    "version": 1
  }
}