Pith Number

pith:C6LO6JBL

pith:2026:C6LO6JBLKEL3D23Z6YI3RRMRE4

not attested not anchored not stored refs pending

A spectral correlation inequality for increasing Boolean functions

Fan Chang

arxiv:2606.08958 v1 · 2026-06-08 · math.CO · 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{C6LO6JBLKEL3D23Z6YI3RRMRE4}

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	2026-06-09T02:07:50.247898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1796ef242b5117b1eb79f611b8c59127050b86b79a4e36fb0b0edf032d47d3a6

Aliases

arxiv: 2606.08958 · arxiv_version: 2606.08958v1 · doi: 10.48550/arxiv.2606.08958 · pith_short_12: C6LO6JBLKEL3 · pith_short_16: C6LO6JBLKEL3D23Z · pith_short_8: C6LO6JBL

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/C6LO6JBLKEL3D23Z6YI3RRMRE4 \
  | 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: 1796ef242b5117b1eb79f611b8c59127050b86b79a4e36fb0b0edf032d47d3a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7f3a008d1e30a7f8780fbc0784fc84a4f2422e5c667e4ea437017caa0d31ff",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T03:00:40Z",
    "title_canon_sha256": "c03a734b5c8204980a713fabc9fcb676c8e21819e9e356bb9d57aebcfa5a0ae2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08958",
    "kind": "arxiv",
    "version": 1
  }
}