Pith Number

pith:CBUQ2ZZP

pith:2013:CBUQ2ZZPBCZ46FSTVNLQW3QWWC

not attested not anchored not stored refs pending

A refinement of Brascamp-Lieb-Poincare inequality in one dimension

Ionel Popescu

arxiv:1311.4118 v2 · 2013-11-17 · 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{CBUQ2ZZPBCZ46FSTVNLQW3QWWC}

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	2026-05-18T03:06:42.516490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10690d672f08b3cf1653ab570b6e16b0a9029523c7f00e0b8e9a3ceb8afba34b

Aliases

arxiv: 1311.4118 · arxiv_version: 1311.4118v2 · doi: 10.48550/arxiv.1311.4118 · pith_short_12: CBUQ2ZZPBCZ4 · pith_short_16: CBUQ2ZZPBCZ46FST · pith_short_8: CBUQ2ZZP

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/CBUQ2ZZPBCZ46FSTVNLQW3QWWC \
  | 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: 10690d672f08b3cf1653ab570b6e16b0a9029523c7f00e0b8e9a3ceb8afba34b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b1390fa9c144ca6313eaa8d28a807142d431a1a9640ef5ed9837a58b283427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-17T05:29:50Z",
    "title_canon_sha256": "1b404ce7d72c06f92e7140e2fc4ef05c05fdc151260159c3b61569dd855178c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4118",
    "kind": "arxiv",
    "version": 2
  }
}