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Pith Number

pith:AL6MM524

pith:2009:AL6MM524TDBC354WI3W2SSPARC
not attested not anchored not stored refs pending

Higher genus mean curvature 1 catenoids in hyperbolic and de Sitter 3-spaces

Shoichi Fujimori, Wayne Rossman

arxiv:0904.3988 v3 · 2009-04-25 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AL6MM524TDBC354WI3W2SSPARC}

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 2026-05-18T04:38:48.674694Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

02fcc6775c98c22df79646eda949e088bbfc109763d804b0f888256a15528b24

Aliases

arxiv: 0904.3988 · arxiv_version: 0904.3988v3 · doi: 10.48550/arxiv.0904.3988 · pith_short_12: AL6MM524TDBC · pith_short_16: AL6MM524TDBC354W · pith_short_8: AL6MM524
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AL6MM524TDBC354WI3W2SSPARC \
  | 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: 02fcc6775c98c22df79646eda949e088bbfc109763d804b0f888256a15528b24
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "55b079e0612cea945a5772d2c2982a5720b78496fbbbbc4860b59265b8394ab7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-25T16:02:15Z",
    "title_canon_sha256": "2328b27749dc7e2011830bffb60749e9c465a37ac42770fb139c8db8d57f1a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3988",
    "kind": "arxiv",
    "version": 3
  }
}