Pith Number

pith:ZLMDN6CJ

pith:2013:ZLMDN6CJSYVGXCEURFVIIAP6BP

not attested not anchored not stored refs pending

Refinements of the One Dimensional Free Poincare Inequality

Christian Houdre, Ionel Popescu

arxiv:1311.4585 v4 · 2013-11-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLMDN6CJSYVGXCEURFVIIAP6BP}

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	2026-05-18T02:41:42.033250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cad836f849962a6b8894896a8401fe0bcd8dbe3dba06ecf567eb480bc76a9cb9

Aliases

arxiv: 1311.4585 · arxiv_version: 1311.4585v4 · doi: 10.48550/arxiv.1311.4585 · pith_short_12: ZLMDN6CJSYVG · pith_short_16: ZLMDN6CJSYVGXCEU · pith_short_8: ZLMDN6CJ

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/ZLMDN6CJSYVGXCEURFVIIAP6BP \
  | 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: cad836f849962a6b8894896a8401fe0bcd8dbe3dba06ecf567eb480bc76a9cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf564b4523e114ee77645098b24d48fcf0755a849f2a3c88026aae8c2451dce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-18T23:04:37Z",
    "title_canon_sha256": "3334aa2ed677f44b91f588786da30c2317f48476b3e9cd2fd3b0a1b46823aaa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4585",
    "kind": "arxiv",
    "version": 4
  }
}