Pith Number

pith:AY2R4DLL

pith:2026:AY2R4DLLFMNNWG77CBHG7L5CIX

not attested not anchored not stored refs pending

Spectral Conditions for the Ingleton Inequality

Andrei Romashchenko, Rostislav Matveev

arxiv:2602.16536 v2 · 2026-02-18 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AY2R4DLLFMNNWG77CBHG7L5CIX}

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	2026-05-20T00:05:42.339921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06351e0d6b2b1adb1bff104e6fafa245f4fa2284b1afeaa2d97d18b846c509d3

Aliases

arxiv: 2602.16536 · arxiv_version: 2602.16536v2 · doi: 10.48550/arxiv.2602.16536 · pith_short_12: AY2R4DLLFMNN · pith_short_16: AY2R4DLLFMNNWG77 · pith_short_8: AY2R4DLL

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/AY2R4DLLFMNNWG77CBHG7L5CIX \
  | 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: 06351e0d6b2b1adb1bff104e6fafa245f4fa2284b1afeaa2d97d18b846c509d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98edcd0c50b06a54b6f7c17927bd527604c207ae36a85bed29278af0ab88d06d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-02-18T15:30:35Z",
    "title_canon_sha256": "6cba99e404974e218fc4fadeeab0cc53272edab785891d4e29b3d3184fd7245d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.16536",
    "kind": "arxiv",
    "version": 2
  }
}