Pith Number

pith:ZJ4RP26A

pith:2026:ZJ4RP26A377N3O7LLSY5K3P4JS

not attested not anchored not stored refs pending

Hypercube geodesics with few colour changes

Lawrence Hollom

arxiv:2605.20184 v1 · 2026-05-19 · 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{ZJ4RP26A377N3O7LLSY5K3P4JS}

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	2026-05-20T02:06:06.900834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca7917ebc0dffeddbbeb5cb1d56dfc4cafd823f3e1e8f34124114d8ddd26d593

Aliases

arxiv: 2605.20184 · arxiv_version: 2605.20184v1 · doi: 10.48550/arxiv.2605.20184 · pith_short_12: ZJ4RP26A377N · pith_short_16: ZJ4RP26A377N3O7L · pith_short_8: ZJ4RP26A

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/ZJ4RP26A377N3O7LLSY5K3P4JS \
  | 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: ca7917ebc0dffeddbbeb5cb1d56dfc4cafd823f3e1e8f34124114d8ddd26d593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b313569fbafd98b8552af6a7949e2b5d0368ef5cea34f88d2b0e5b0fb3c41c20",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-19T17:59:50Z",
    "title_canon_sha256": "2e998b2fb6ba046de25a47c909e58d6d579ff34fdfbbc476bb3180779902bb25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20184",
    "kind": "arxiv",
    "version": 1
  }
}