Pith Number

pith:MBLAEDUE

pith:2013:MBLAEDUECAMZAAYT37RPLAHDJK

not attested not anchored not stored refs pending

Dimensional contraction in Wasserstein distance for diffusion semigroups on a Riemannian manifold

Ivan Gentil (ICJ)

arxiv:1310.4264 v3 · 2013-10-16 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBLAEDUECAMZAAYT37RPLAHDJK}

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	2026-05-18T02:31:21.609544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6056020e841019900313dfe2f580e34a9585bfd5cc4d6f70462ac8d22a804ce7

Aliases

arxiv: 1310.4264 · arxiv_version: 1310.4264v3 · doi: 10.48550/arxiv.1310.4264 · pith_short_12: MBLAEDUECAMZ · pith_short_16: MBLAEDUECAMZAAYT · pith_short_8: MBLAEDUE

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/MBLAEDUECAMZAAYT37RPLAHDJK \
  | 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: 6056020e841019900313dfe2f580e34a9585bfd5cc4d6f70462ac8d22a804ce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24f6965adcf2e2be587de5271030a74bf66a2fd3c91f2e280160161aa0bbeea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-16T04:24:01Z",
    "title_canon_sha256": "86d705997fc99b50578a4ddcadb38366d5a206d9cf46a6ea1494ac3b06c0837c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4264",
    "kind": "arxiv",
    "version": 3
  }
}