Pith Number

pith:OT5IH5QJ

pith:2017:OT5IH5QJKPCMH47XOUXNXAD6NU

not attested not anchored not stored refs pending

Constant mean curvature spheres in homogeneous three-manifolds

Antonio Ros, Joaquin Perez, Pablo Mira, William H. Meeks

arxiv:1706.09394 v1 · 2017-06-28 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OT5IH5QJKPCMH47XOUXNXAD6NU}

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	2026-05-18T00:41:18.777127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74fa83f60953c4c3f3f7752edb807e6d31bb446bfc92d56d18ccd5a180a41b77

Aliases

arxiv: 1706.09394 · arxiv_version: 1706.09394v1 · doi: 10.48550/arxiv.1706.09394 · pith_short_12: OT5IH5QJKPCM · pith_short_16: OT5IH5QJKPCMH47X · pith_short_8: OT5IH5QJ

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/OT5IH5QJKPCMH47XOUXNXAD6NU \
  | 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: 74fa83f60953c4c3f3f7752edb807e6d31bb446bfc92d56d18ccd5a180a41b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9587f0df9d5828bdf8a115a7a417da96ac5ffd8ee79889498b43951f1191c791",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-28T17:57:14Z",
    "title_canon_sha256": "8915729eaa58ec803c7a98d377e688409e07fd0e41ded034422790bc95650137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09394",
    "kind": "arxiv",
    "version": 1
  }
}