Pith Number

pith:BYHYQP7X

pith:2023:BYHYQP7XWJIADNZUMLS35HIPBS

not attested not anchored not stored refs pending

A strong FKG inequality for multiple events

Nikita Gladkov

arxiv:2305.02653 v1 · 2023-05-04 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYHYQP7XWJIADNZUMLS35HIPBS}

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	2026-07-05T06:07:03.749965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e0f883ff7b25001b73462e5be9d0f0c9f122f66318155331f58f2f8f2b5d063

Aliases

arxiv: 2305.02653 · arxiv_version: 2305.02653v1 · doi: 10.48550/arxiv.2305.02653 · pith_short_12: BYHYQP7XWJIA · pith_short_16: BYHYQP7XWJIADNZU · pith_short_8: BYHYQP7X

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/BYHYQP7XWJIADNZUMLS35HIPBS \
  | 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: 0e0f883ff7b25001b73462e5be9d0f0c9f122f66318155331f58f2f8f2b5d063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d820563cd561fba15f7610878d6dfd74b932bf6b3037aff8eeb73e8300f0b25",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-05-04T08:45:53Z",
    "title_canon_sha256": "562525834327d9caf0ab4eac2ca18cd4148c5c3f9a39cca0b2502d8b6729a161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.02653",
    "kind": "arxiv",
    "version": 1
  }
}