Pith Number

pith:VN75AS3B

pith:2025:VN75AS3BXPMCKEVTKXPGKPOZ3Z

not attested not anchored not stored refs pending

Optimal Thresholds for Monotone Non-Boolean Functions

Allen Lin, Saba Lepsveridze

arxiv:2509.07246 v2 · 2025-09-08 · 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{VN75AS3BXPMCKEVTKXPGKPOZ3Z}

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	2026-05-20T01:04:57.142790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab7fd04b61bbd82512b355de653dd9de590790ceb60fd2b09ae9ee0f5e69cfaa

Aliases

arxiv: 2509.07246 · arxiv_version: 2509.07246v2 · doi: 10.48550/arxiv.2509.07246 · pith_short_12: VN75AS3BXPMC · pith_short_16: VN75AS3BXPMCKEVT · pith_short_8: VN75AS3B

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/VN75AS3BXPMCKEVTKXPGKPOZ3Z \
  | 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: ab7fd04b61bbd82512b355de653dd9de590790ceb60fd2b09ae9ee0f5e69cfaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5038a5be3a7b01054b416b4b90d9c7845d2e4918a7a67decacef3a3c1c90d323",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-08T21:43:42Z",
    "title_canon_sha256": "9dc92cdf1ec255e73f8569fc9a94172da94006ccdb3b85012f4a2efe67baca69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07246",
    "kind": "arxiv",
    "version": 2
  }
}