Pith Number

pith:OCYV5ZST

pith:2023:OCYV5ZSTYU3EB46GAB6ANNRSPW

not attested not anchored not stored refs pending

Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds

Melanie Weber, Nicolas Garcia Trillos

arxiv:2307.02378 v2 · 2023-07-05 · math.DG · cs.LG · math.AP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCYV5ZSTYU3EB46GAB6ANNRSPW}

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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.

Cited by

1 paper in Pith

Diffusion Operator Geometry of Feedforward Representations

Receipt and verification

First computed	2026-07-05T08:59:03.018876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b15ee653c53640f3c6007c06b6327da3e7e135daa655500876338d9e2209da

Aliases

arxiv: 2307.02378 · arxiv_version: 2307.02378v2 · doi: 10.48550/arxiv.2307.02378 · pith_short_12: OCYV5ZSTYU3E · pith_short_16: OCYV5ZSTYU3EB46G · pith_short_8: OCYV5ZST

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/OCYV5ZSTYU3EB46GAB6ANNRSPW \
  | 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: 70b15ee653c53640f3c6007c06b6327da3e7e135daa655500876338d9e2209da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bff7073f2b8122846543a9caeeeed82f09960c75b3d0d972bd9a80c34ab263e6",
    "cross_cats_sorted": [
      "cs.LG",
      "math.AP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-07-05T15:45:53Z",
    "title_canon_sha256": "f65a0641fa2c79aa5ea0021b6c56a7c56bad1e2edbfe6953eab9962c32866898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.02378",
    "kind": "arxiv",
    "version": 2
  }
}