Pith Number

pith:FLOBMCNA

pith:2012:FLOBMCNAGWCR7SWVHJ6RBDJACI

not attested not anchored not stored refs pending

Displacement convexity of entropy and related inequalities on graphs

Cyril Roberto (MODAL'X), Natha\"el Gozlan (LAMA), Paul-Marie Samson (LAMA), Prasad Tetali (School of Mathematics)

arxiv:1207.5116 v1 · 2012-07-21 · 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{FLOBMCNAGWCR7SWVHJ6RBDJACI}

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	2026-05-18T03:50:24.536741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2adc1609a035851fcad53a7d108d201213c9a1bdb2b00f8c020f6298bb031190

Aliases

arxiv: 1207.5116 · arxiv_version: 1207.5116v1 · doi: 10.48550/arxiv.1207.5116 · pith_short_12: FLOBMCNAGWCR · pith_short_16: FLOBMCNAGWCR7SWV · pith_short_8: FLOBMCNA

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/FLOBMCNAGWCR7SWVHJ6RBDJACI \
  | 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: 2adc1609a035851fcad53a7d108d201213c9a1bdb2b00f8c020f6298bb031190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee9b74c451f21c11faacf6514f9338c2bbe5dba20b54fc1f81e70b5ebdb34ea4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-21T10:21:08Z",
    "title_canon_sha256": "1029c5d7ac37a5f1ea6e0583d744cf89ef3f52526fe2de74daa9ba807da5bd8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5116",
    "kind": "arxiv",
    "version": 1
  }
}