Pith Number

pith:J2P5CEOL

pith:2015:J2P5CEOLR4XJHP3PMH6PKOEVSX

not attested not anchored not stored refs pending

Height and area estimates for constant mean curvature graphs in E(\kappa,\tau)-spaces

Barbara Nelli, Jos\'e M. Manzano

arxiv:1504.05239 v2 · 2015-04-20 · 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{J2P5CEOLR4XJHP3PMH6PKOEVSX}

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	2026-05-18T00:20:49.526017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9fd111cb8f2e93bf6f61fcf5389595eaa945d287cfc7d05705e2958feb3a58

Aliases

arxiv: 1504.05239 · arxiv_version: 1504.05239v2 · doi: 10.48550/arxiv.1504.05239 · pith_short_12: J2P5CEOLR4XJ · pith_short_16: J2P5CEOLR4XJHP3P · pith_short_8: J2P5CEOL

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/J2P5CEOLR4XJHP3PMH6PKOEVSX \
  | 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: 4e9fd111cb8f2e93bf6f61fcf5389595eaa945d287cfc7d05705e2958feb3a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0ee6edd07e9c8669fd6a316a5abd59eb19105c7c4324eed33f9945853a750e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-20T21:33:30Z",
    "title_canon_sha256": "a867fb6597cca72c30cf33137a543c146ada8eb9a53b33c09c8d75ceaa42ab39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05239",
    "kind": "arxiv",
    "version": 2
  }
}