Pith Number

pith:FHO4HLZK

pith:2009:FHO4HLZKVYI46FCADA4WKXQLVF

not attested not anchored not stored refs pending

Complete Constant Mean Curvature surfaces in homogeneous spaces

Harold Rosenberg, Jose M. Espinar

arxiv:0903.2439 v2 · 2009-03-13 · 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{FHO4HLZKVYI46FCADA4WKXQLVF}

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	2026-05-18T04:22:09.372797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29ddc3af2aae11cf14401839655e0ba94003dc27126c3b7850ae6fb5b0a1f971

Aliases

arxiv: 0903.2439 · arxiv_version: 0903.2439v2 · doi: 10.48550/arxiv.0903.2439 · pith_short_12: FHO4HLZKVYI4 · pith_short_16: FHO4HLZKVYI46FCA · pith_short_8: FHO4HLZK

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/FHO4HLZKVYI46FCADA4WKXQLVF \
  | 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: 29ddc3af2aae11cf14401839655e0ba94003dc27126c3b7850ae6fb5b0a1f971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f539b333ec46eb41b21bbe0a4b09aa34d8ca9c9a7b016ce76f29d20f62871f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-13T17:30:52Z",
    "title_canon_sha256": "e908c391846509b45e15355ee8bbf561145bf8c927e48f3944b50f111e5eaf2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2439",
    "kind": "arxiv",
    "version": 2
  }
}