Pith Number

pith:7JR2AFQ7

pith:2013:7JR2AFQ7L4KBCTPWYXAYY4Q657

not attested not anchored not stored refs pending

Nonlinear diffusion: Geodesic Convexity is equivalent to Wasserstein Contraction

Fran\c{c}ois Bolley (CEREMADE), Jos\'e A. Carrillo

arxiv:1309.1932 v2 · 2013-09-08 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JR2AFQ7L4KBCTPWYXAYY4Q657}

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	2026-05-18T02:59:18.289048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa63a0161f5f14114df6c5c18c721eefc72f34bcc074f6285eb2a66126b9bd23

Aliases

arxiv: 1309.1932 · arxiv_version: 1309.1932v2 · doi: 10.48550/arxiv.1309.1932 · pith_short_12: 7JR2AFQ7L4KB · pith_short_16: 7JR2AFQ7L4KBCTPW · pith_short_8: 7JR2AFQ7

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/7JR2AFQ7L4KBCTPWYXAYY4Q657 \
  | 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: fa63a0161f5f14114df6c5c18c721eefc72f34bcc074f6285eb2a66126b9bd23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa8e68f81a970629fe5a250ffa19a8a695874ec8389480eb353613dc7b59cad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-08T06:41:46Z",
    "title_canon_sha256": "a78b3400d14496b10b9e99121bb197f2fded856709898470f773fb2da960cd14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1932",
    "kind": "arxiv",
    "version": 2
  }
}