Pith Number

pith:S62MKOLB

pith:2011:S62MKOLBOIFNQPVNX45M5SRRG3

not attested not anchored not stored refs pending

The One Dimensional Free Poincar\'e Inequality

Ionel Popescu, Michel Ledoux

arxiv:1105.2031 v3 · 2011-05-10 · math.OA · 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{S62MKOLBOIFNQPVNX45M5SRRG3}

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	2026-05-18T03:57:25.225826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97b4c53961720ad83eadbf3aceca3136f38ca3f6d3ac96ba5ebdfd5edaa9873b

Aliases

arxiv: 1105.2031 · arxiv_version: 1105.2031v3 · doi: 10.48550/arxiv.1105.2031 · pith_short_12: S62MKOLBOIFN · pith_short_16: S62MKOLBOIFNQPVN · pith_short_8: S62MKOLB

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/S62MKOLBOIFNQPVNX45M5SRRG3 \
  | 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: 97b4c53961720ad83eadbf3aceca3136f38ca3f6d3ac96ba5ebdfd5edaa9873b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24c75833bb7b46db87925247d72288c717739f4681a8849f65ddb695df9a672d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-05-10T19:47:55Z",
    "title_canon_sha256": "a9dd5b3a2972c77735de0ffe6c285c4247fb8975e85c06d9942ba67670c6d480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2031",
    "kind": "arxiv",
    "version": 3
  }
}