Pith Number

pith:BAMKX5SJ

pith:2019:BAMKX5SJBGSKHDJWOL2EDDXQQM

not attested not anchored not stored refs pending

The Three-Dimensional Gaussian Product Inequality

Guolie Lan, Wei Sun, Ze-Chun Hu

arxiv:1905.04279 v1 · 2019-05-10 · 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{BAMKX5SJBGSKHDJWOL2EDDXQQM}

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	2026-05-17T23:46:31.530949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0818abf64909a4a38d3672f4418ef0832cc83dc972495f61864b7626b3bca0ac

Aliases

arxiv: 1905.04279 · arxiv_version: 1905.04279v1 · doi: 10.48550/arxiv.1905.04279 · pith_short_12: BAMKX5SJBGSK · pith_short_16: BAMKX5SJBGSKHDJW · pith_short_8: BAMKX5SJ

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/BAMKX5SJBGSKHDJWOL2EDDXQQM \
  | 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: 0818abf64909a4a38d3672f4418ef0832cc83dc972495f61864b7626b3bca0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836579fcd2604093a313e4e7033b6ae4e5a8c4c4da84cb4c2c6775f42013ae6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-10T17:37:13Z",
    "title_canon_sha256": "1177e0384e88bd1e750fc6d18a40c26bf93ec7709913b53c6a80c4dc97914567"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04279",
    "kind": "arxiv",
    "version": 1
  }
}