Pith Number

pith:SPQBGKQH

pith:2013:SPQBGKQHZ3VHGBROFQTFD44CCN

not attested not anchored not stored refs pending

Space-time Wasserstein controls and Bakry-Ledoux type gradient estimates

Kazumasa Kuwada

arxiv:1308.5471 v2 · 2013-08-26 · math.PR · 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{SPQBGKQHZ3VHGBROFQTFD44CCN}

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	2026-05-18T02:46:39.381808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e0132a07ceea73062e2c2651f382137b52277e63c2916cd6c7dc082063c549

Aliases

arxiv: 1308.5471 · arxiv_version: 1308.5471v2 · doi: 10.48550/arxiv.1308.5471 · pith_short_12: SPQBGKQHZ3VH · pith_short_16: SPQBGKQHZ3VHGBRO · pith_short_8: SPQBGKQH

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/SPQBGKQHZ3VHGBROFQTFD44CCN \
  | 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: 93e0132a07ceea73062e2c2651f382137b52277e63c2916cd6c7dc082063c549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5172de720f0512c37a2e4171699ba6979ea15145f24b3fa5bd0514e7f706cd7e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-26T01:48:49Z",
    "title_canon_sha256": "e47e5cf074577024c916eb5dde0630bec7bf6896b5113ccdc2c54586e377d41f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5471",
    "kind": "arxiv",
    "version": 2
  }
}