Pith Number

pith:M3KX2BWC

pith:2026:M3KX2BWCBE7KVQL3AMZRE2BQ5C

not attested not anchored not stored refs pending

Chamber geometry and specification numbers of Boolean threshold functions

Martin Anthony

arxiv:2606.29477 v1 · 2026-06-28 · cs.DM · cs.LG · 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{M3KX2BWCBE7KVQL3AMZRE2BQ5C}

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	2026-06-30T01:18:08.078024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d57d06c2093eaac17b0333126830e8a36041a0b4d7099be9afdf7e0df1f63f

Aliases

arxiv: 2606.29477 · arxiv_version: 2606.29477v1 · doi: 10.48550/arxiv.2606.29477 · pith_short_12: M3KX2BWCBE7K · pith_short_16: M3KX2BWCBE7KVQL3 · pith_short_8: M3KX2BWC

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/M3KX2BWCBE7KVQL3AMZRE2BQ5C \
  | 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: 66d57d06c2093eaac17b0333126830e8a36041a0b4d7099be9afdf7e0df1f63f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca662ede1091a074898ddc47ad8a0d5705b8ce42057a7932a90634a3ebb0ea88",
    "cross_cats_sorted": [
      "cs.LG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2026-06-28T16:12:31Z",
    "title_canon_sha256": "3f65fca4226724ede83e6ca3bdb0c5654fcd71c933274a1f1eb2d12160b2d2fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29477",
    "kind": "arxiv",
    "version": 1
  }
}