Pith Number

pith:NJ52IJYM

pith:2026:NJ52IJYM3Q2SXCDUAQPU7DJ33H

not attested not anchored not stored refs pending

Pairs of square-free arithmetic progressions in infinite words

Matthieu Rosenfeld, Pascal Ochem, Thomas Del\'epine

arxiv:2605.29853 v1 · 2026-05-28 · 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{NJ52IJYM3Q2SXCDUAQPU7DJ33H}

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	2026-05-29T02:05:56.122280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7ba4270cdc352b8874041f4f8d3bd9e4fce6518514d869549ebf04b8b3e050

Aliases

arxiv: 2605.29853 · arxiv_version: 2605.29853v1 · doi: 10.48550/arxiv.2605.29853 · pith_short_12: NJ52IJYM3Q2S · pith_short_16: NJ52IJYM3Q2SXCDU · pith_short_8: NJ52IJYM

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/NJ52IJYM3Q2SXCDUAQPU7DJ33H \
  | 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: 6a7ba4270cdc352b8874041f4f8d3bd9e4fce6518514d869549ebf04b8b3e050

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "864cb5d49622f58874d3b4de5ed9be2ff7523cc0cb4e3ff71fdeaea149a9fa2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-28T12:35:04Z",
    "title_canon_sha256": "ba4afc767420228abd03a72a6ea98bbe6eb3d58419b63d13c0b0ca84441a5eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29853",
    "kind": "arxiv",
    "version": 1
  }
}