Pith Number

pith:7JKCBRPO

pith:2015:7JKCBRPOUP4JUBHAUNMBB5KVNP

not attested not anchored not stored refs pending

Diastatic entropy and rigidity of hyperbolic manifolds

Roberto Mossa

arxiv:1505.02164 v1 · 2015-05-08 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JKCBRPOUP4JUBHAUNMBB5KVNP}

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	2026-05-18T01:11:43.855832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5420c5eea3f89a04e0a35810f5556be23fda0d6f26d436d0e011014f11851a

Aliases

arxiv: 1505.02164 · arxiv_version: 1505.02164v1 · doi: 10.48550/arxiv.1505.02164 · pith_short_12: 7JKCBRPOUP4J · pith_short_16: 7JKCBRPOUP4JUBHA · pith_short_8: 7JKCBRPO

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/7JKCBRPOUP4JUBHAUNMBB5KVNP \
  | 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: fa5420c5eea3f89a04e0a35810f5556be23fda0d6f26d436d0e011014f11851a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db26c015353876e92073f5ea2c36a692d48d122ad0ab3736cb4f43e6351db252",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-08T20:01:55Z",
    "title_canon_sha256": "0de280fb2d45e94d3a8bf73c9d4c1477c5f0bcf5a6fb5e2af7651fd5365db3b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02164",
    "kind": "arxiv",
    "version": 1
  }
}