Pith Number

pith:RT5CNS46

pith:2014:RT5CNS46WJDJINMJ5ABDVBZ6DO

not attested not anchored not stored refs pending

Perelman's entropy for some families of canonical metrics

Stuart James Hall

arxiv:1402.5625 v1 · 2014-02-23 · 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{RT5CNS46WJDJINMJ5ABDVBZ6DO}

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	2026-05-18T02:58:14.253194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cfa26cb9eb246943589e8023a873e1bb7e561426d357e74e2b585b41a291562

Aliases

arxiv: 1402.5625 · arxiv_version: 1402.5625v1 · doi: 10.48550/arxiv.1402.5625 · pith_short_12: RT5CNS46WJDJ · pith_short_16: RT5CNS46WJDJINMJ · pith_short_8: RT5CNS46

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/RT5CNS46WJDJINMJ5ABDVBZ6DO \
  | 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: 8cfa26cb9eb246943589e8023a873e1bb7e561426d357e74e2b585b41a291562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208670cdcfce3f97dbe0eb49dcb7fa1c341eabec95fafbfc70eccad23e8db151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-02-23T16:09:43Z",
    "title_canon_sha256": "46bc22386cc71c93be94e136a7da7e80573eff99b299c0c6800e84aa5f03f615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5625",
    "kind": "arxiv",
    "version": 1
  }
}