Pith Number

pith:MR4FNVLI

pith:2012:MR4FNVLINRHP2M3ZGLZV3VTC3E

not attested not anchored not stored refs pending

Free transport-entropy inequalities for non-convex potentials and application to concentration for random matrices

\'Edouard Maurel-Segala (LM-Orsay), Myl\`ene Ma\"ida (LM-Orsay)

arxiv:1204.3208 v2 · 2012-04-14 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MR4FNVLINRHP2M3ZGLZV3VTC3E}

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	2026-05-18T03:45:52.987642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647856d5686c4efd337932f35dd662d924cc52be448fa6965dae4f944166d2e0

Aliases

arxiv: 1204.3208 · arxiv_version: 1204.3208v2 · doi: 10.48550/arxiv.1204.3208 · pith_short_12: MR4FNVLINRHP · pith_short_16: MR4FNVLINRHP2M3Z · pith_short_8: MR4FNVLI

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/MR4FNVLINRHP2M3ZGLZV3VTC3E \
  | 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: 647856d5686c4efd337932f35dd662d924cc52be448fa6965dae4f944166d2e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "107ad037a38858547e1d473e70372c4eaa2e1008468b5776f372ab64dc37dc83",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-14T20:24:59Z",
    "title_canon_sha256": "88ef90ac0c838fbab4cead83e3fc1f05f1ff04606e026706076f1e017eb6c8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3208",
    "kind": "arxiv",
    "version": 2
  }
}