Pith Number

pith:BTX652JW

pith:2018:BTX652JWZHE44YOVW3TMZJYREH

not attested not anchored not stored refs pending

Combinatorial, Bakry-\'Emery, Ollivier's Ricci curvature notions and their motivation from Riemannian geometry

Supanat Kamtue

arxiv:1803.08898 v1 · 2018-03-23 · math.CO · 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{BTX652JWZHE44YOVW3TMZJYREH}

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	2026-05-18T00:20:18.263769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cefeee936c9c9ce61d5b6e6cca71121c56a703dd5cbd58c0e4644c38c94a9a5

Aliases

arxiv: 1803.08898 · arxiv_version: 1803.08898v1 · doi: 10.48550/arxiv.1803.08898 · pith_short_12: BTX652JWZHE4 · pith_short_16: BTX652JWZHE44YOV · pith_short_8: BTX652JW

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/BTX652JWZHE44YOVW3TMZJYREH \
  | 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: 0cefeee936c9c9ce61d5b6e6cca71121c56a703dd5cbd58c0e4644c38c94a9a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc4fb5a45a153ccb8c351eb57b9fd6fe28ba5a67ee4a4e51825e95d0556dad2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-23T17:21:44Z",
    "title_canon_sha256": "f104e5de72fe5fcf39ffd5f010a992b62c683fab71621acc7666809d2d05aa05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08898",
    "kind": "arxiv",
    "version": 1
  }
}