Pith Number

pith:L6QNKPDU

pith:1999:L6QNKPDUJCPBMKV6CIYJEVYNFY

not attested not anchored not stored refs pending

Cross-Newell equations for hexagons and triangles

Rebecca B. Hoyle

arxiv:patt-sol/9910004 v1 · 1999-10-16 · patt-sol · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6QNKPDUJCPBMKV6CIYJEVYNFY}

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	2026-07-04T16:15:32.265534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa0d53c74489e162abe123092570d2e243362d39da973b249470f49bb4b8820

Aliases

arxiv: patt-sol/9910004 · arxiv_version: patt-sol/9910004v1 · doi: 10.48550/arxiv.patt-sol/9910004 · pith_short_12: L6QNKPDUJCPB · pith_short_16: L6QNKPDUJCPBMKV6 · pith_short_8: L6QNKPDU

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/L6QNKPDUJCPBMKV6CIYJEVYNFY \
  | 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: 5fa0d53c74489e162abe123092570d2e243362d39da973b249470f49bb4b8820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "914ab826192685fdac7bc7dc9a6edb4d6cf9ef66925e753c018dc6ff2ae52945",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "patt-sol",
    "submitted_at": "1999-10-16T13:18:06Z",
    "title_canon_sha256": "3f2de339229ba283e9abbb2e7ac5080ed13b59462373553684f9f7f37f13123a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "patt-sol/9910004",
    "kind": "arxiv",
    "version": 1
  }
}