Pith Number

pith:VXLQQADU

pith:2012:VXLQQADUHXZFJXPEWBHPLJ53LQ

not attested not anchored not stored refs pending

Hamilton Jacobi equations on metric spaces and transport-entropy inequalities

Cyril Roberto, Nathael Gozlan, Paul-Marie Samson

arxiv:1203.2783 v1 · 2012-03-13 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXLQQADUHXZFJXPEWBHPLJ53LQ}

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	2026-05-18T04:00:14.607200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add70800743df254dde4b04ef5a7bb5c0491cd9fb39b9bdf00660b7d80f2f2e3

Aliases

arxiv: 1203.2783 · arxiv_version: 1203.2783v1 · doi: 10.48550/arxiv.1203.2783 · pith_short_12: VXLQQADUHXZF · pith_short_16: VXLQQADUHXZFJXPE · pith_short_8: VXLQQADU

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/VXLQQADUHXZFJXPEWBHPLJ53LQ \
  | 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: add70800743df254dde4b04ef5a7bb5c0491cd9fb39b9bdf00660b7d80f2f2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df08ee5ca7d27a99467241a44f51bfa7c1b9e24631362e7d81f9d96363c70366",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-13T12:34:45Z",
    "title_canon_sha256": "4174287b7c9e420718a0a96454c3642976ce9d5ac1caa1a7e4482f70e17a66b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2783",
    "kind": "arxiv",
    "version": 1
  }
}