Pith Number

pith:Z3FRS6G2

pith:2026:Z3FRS6G2GFE77K3X2XSSIPI3QI

not attested not anchored not stored refs pending

Ten Squares Force an Overlap

Jeffrey Shallit

arxiv:2605.28570 v1 · 2026-05-27 · math.CO · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3FRS6G2GFE77K3X2XSSIPI3QI}

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	2026-05-28T02:04:56.654825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cecb1978da3149ffab77d5e5243d1b82194d97708d5bfd52840712e1509843a0

Aliases

arxiv: 2605.28570 · arxiv_version: 2605.28570v1 · doi: 10.48550/arxiv.2605.28570 · pith_short_12: Z3FRS6G2GFE7 · pith_short_16: Z3FRS6G2GFE77K3X · pith_short_8: Z3FRS6G2

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/Z3FRS6G2GFE77K3X2XSSIPI3QI \
  | 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: cecb1978da3149ffab77d5e5243d1b82194d97708d5bfd52840712e1509843a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e628bd04b50ad52cf500f3560f643ebeb9cce7b3d9d565121f639f6619c081d8",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T14:56:13Z",
    "title_canon_sha256": "7455c0f271bc0e7243ac2eac4f5da747d45da05ac038b6f698d4ffe82c002762"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28570",
    "kind": "arxiv",
    "version": 1
  }
}