Pith Number

pith:DR4KZONS

pith:2026:DR4KZONSN3QBDOJZ3DGJ3AQ2A3

not attested not anchored not stored refs pending

New relations for the Penrose polynomial

Ben McCarty, Scott Baldridge

arxiv:2606.06643 v1 · 2026-06-04 · 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{DR4KZONSN3QBDOJZ3DGJ3AQ2A3}

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	2026-06-08T01:04:20.517205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c78acb9b26ee011b939d8cc9d821a06f3cab269fb815221a86112c7b064df8e

Aliases

arxiv: 2606.06643 · arxiv_version: 2606.06643v1 · doi: 10.48550/arxiv.2606.06643 · pith_short_12: DR4KZONSN3QB · pith_short_16: DR4KZONSN3QBDOJZ · pith_short_8: DR4KZONS

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/DR4KZONSN3QBDOJZ3DGJ3AQ2A3 \
  | 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: 1c78acb9b26ee011b939d8cc9d821a06f3cab269fb815221a86112c7b064df8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34a2d02f3f483e5397f39cf72a73a24a13d356c6d9a7cc8128a5b08c08065b8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-04T18:49:10Z",
    "title_canon_sha256": "4f676b72f9c06fd1bf179084d5679ea12038271467c87ff2c1a03ae3360d0f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06643",
    "kind": "arxiv",
    "version": 1
  }
}