Pith Number

pith:3ZK4UON2

pith:2011:3ZK4UON266FX27PQGODUX4NIP2

not attested not anchored not stored refs pending

Bellman function and linear dimension-free estimates in a theorem of Bakry

Andrea Carbonaro, Oliver Dragi\v{c}evi\'c

arxiv:1105.6330 v3 · 2011-05-31 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZK4UON266FX27PQGODUX4NIP2}

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	2026-05-18T03:20:57.199359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de55ca39baf78b7d7df033874bf1a87ebf3abf821e234453838d872b907d7c3d

Aliases

arxiv: 1105.6330 · arxiv_version: 1105.6330v3 · doi: 10.48550/arxiv.1105.6330 · pith_short_12: 3ZK4UON266FX · pith_short_16: 3ZK4UON266FX27PQ · pith_short_8: 3ZK4UON2

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/3ZK4UON266FX27PQGODUX4NIP2 \
  | 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: de55ca39baf78b7d7df033874bf1a87ebf3abf821e234453838d872b907d7c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d45a58b8103a7b8e0805a29e319dcc7afbf344af739340d38e9a4308e0471f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-31T16:08:42Z",
    "title_canon_sha256": "d297f93e97bf679f4f558e920d4fc9fdc72a13ef1afaad1f006ba1832f80305f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.6330",
    "kind": "arxiv",
    "version": 3
  }
}