Pith Number

pith:TREMDMQ7

pith:2015:TREMDMQ7LY57SHLNDYD4PP6DMK

not attested not anchored not stored refs pending

Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition

Arnaud Guillin, Fran\c{c}ois Bolley (LPMA), Ivan Gentil (ICJ), Kazumasa Kuwada (TITECH)

arxiv:1510.07793 v1 · 2015-10-27 · math.PR · math.AP · 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{TREMDMQ7LY57SHLNDYD4PP6DMK}

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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.

Receipt and verification

First computed	2026-05-18T01:29:12.568891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c48c1b21f5e3bf91d6d1e07c7bfc3629ec22ffab30e8e7d0eedbe3b86c1bc78

Aliases

arxiv: 1510.07793 · arxiv_version: 1510.07793v1 · doi: 10.48550/arxiv.1510.07793 · pith_short_12: TREMDMQ7LY57 · pith_short_16: TREMDMQ7LY57SHLN · pith_short_8: TREMDMQ7

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/TREMDMQ7LY57SHLNDYD4PP6DMK \
  | 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: 9c48c1b21f5e3bf91d6d1e07c7bfc3629ec22ffab30e8e7d0eedbe3b86c1bc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273d893f663e400ecd7f527d95be72999106100095e91c18f0c54f17be5b05a7",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-27T07:14:17Z",
    "title_canon_sha256": "ec05a5e1094d4c1f7f21c0d28f1841cc5d029514696315923b6f97db6a05c869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07793",
    "kind": "arxiv",
    "version": 1
  }
}