Pith Number

pith:7ITBXLVL

pith:2026:7ITBXLVLPFNZB6D7OQG4KOZ6VB

not attested not anchored not stored refs pending

A counterexample for the polar conjecture of Spencer-Brown

Ben McCarty, Louis H. Kauffman, Scott Baldridge

arxiv:2607.22398 v1 · 2026-07-24 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ITBXLVLPFNZB6D7OQG4KOZ6VB}

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	2026-07-27T01:21:18.696437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa261baeab795b90f87f740dc53b3ea87a472b24e3d19103113740ba65792477

Aliases

arxiv: 2607.22398 · arxiv_version: 2607.22398v1 · doi: 10.48550/arxiv.2607.22398 · pith_short_12: 7ITBXLVLPFNZ · pith_short_16: 7ITBXLVLPFNZB6D7 · pith_short_8: 7ITBXLVL

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/7ITBXLVLPFNZB6D7OQG4KOZ6VB \
  | 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: fa261baeab795b90f87f740dc53b3ea87a472b24e3d19103113740ba65792477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff617dd0699ced14a86aa9dba04b25e87acc190fd8933c12b31104c074e82364",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-24T15:21:34Z",
    "title_canon_sha256": "e4a9bde6220889555c662d806fc0c9b03d61ffec61401ba5b478cc7f35f438f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22398",
    "kind": "arxiv",
    "version": 1
  }
}