Pith Number

pith:P63G3JNA

pith:2013:P63G3JNA6BQVS3GSYXT24PM6G2

not attested not anchored not stored refs pending

The p-Hyperbolicity of Infinity Volume Ends and Applications

Marcio Batista, Marcos Petrucio Cavalcante, Newton Santos

arxiv:1301.2821 v2 · 2013-01-13 · 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{P63G3JNA6BQVS3GSYXT24PM6G2}

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	2026-05-18T03:02:21.190510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb66da5a0f061596cd2c5e7ae3d9e36b563b95fe943d5c71d18d8347e5bf325

Aliases

arxiv: 1301.2821 · arxiv_version: 1301.2821v2 · doi: 10.48550/arxiv.1301.2821 · pith_short_12: P63G3JNA6BQV · pith_short_16: P63G3JNA6BQVS3GS · pith_short_8: P63G3JNA

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/P63G3JNA6BQVS3GSYXT24PM6G2 \
  | 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: 7fb66da5a0f061596cd2c5e7ae3d9e36b563b95fe943d5c71d18d8347e5bf325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "506fe2396a7e6ec152f5637b5a6cbce2c6501a00780ce3958cab302591fa4622",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-13T20:55:43Z",
    "title_canon_sha256": "1f584ebffffa27d932d485be158fc8f303affca60512b9e766746b65bbabd8ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2821",
    "kind": "arxiv",
    "version": 2
  }
}