Pith Number

pith:VPIN5RTB

pith:2018:VPIN5RTBBYMCED67POK72H7KWQ

not attested not anchored not stored refs pending

FKG (and other inequalities) via (generalized) FK representation (and iterated folding)

Alberto Gandolfi

arxiv:1801.00621 v1 · 2018-01-02 · 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{VPIN5RTBBYMCED67POK72H7KWQ}

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	2026-05-18T00:26:52.866136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd0dec6610e18220fdf7b95fd1feab43de0af3c6aafac112db3f85c31f3538f

Aliases

arxiv: 1801.00621 · arxiv_version: 1801.00621v1 · doi: 10.48550/arxiv.1801.00621 · pith_short_12: VPIN5RTBBYMC · pith_short_16: VPIN5RTBBYMCED67 · pith_short_8: VPIN5RTB

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/VPIN5RTBBYMCED67POK72H7KWQ \
  | 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: abd0dec6610e18220fdf7b95fd1feab43de0af3c6aafac112db3f85c31f3538f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64ed26f9d3b5af61455568389e6dc76b74dc60701455170dda8353a524f220fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-02T11:59:56Z",
    "title_canon_sha256": "ab3028c6bb1a59270fc2a10aef26fa5ea811269e28d2b1a43b3969770f857bfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00621",
    "kind": "arxiv",
    "version": 1
  }
}