Pith Number

pith:7AHH5R3H

pith:2026:7AHH5R3HRVTFOFICF7QYGWOZAK

not attested not anchored not stored refs pending

Enumerating Inclusion-Maximal Arithmetic Progressions

Brian Bemman, George B. Mertzios, Maximilien Gadouleau, Oliver W. Gnilke

arxiv:2606.11067 v1 · 2026-06-09 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AHH5R3HRVTFOFICF7QYGWOZAK}

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	2026-06-10T01:11:08.008090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80e7ec7678d665715022fe18359d9028af083e43974ba9fc3d761f368f47e2a

Aliases

arxiv: 2606.11067 · arxiv_version: 2606.11067v1 · doi: 10.48550/arxiv.2606.11067 · pith_short_12: 7AHH5R3HRVTF · pith_short_16: 7AHH5R3HRVTFOFIC · pith_short_8: 7AHH5R3H

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/7AHH5R3HRVTFOFICF7QYGWOZAK \
  | 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: f80e7ec7678d665715022fe18359d9028af083e43974ba9fc3d761f368f47e2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ab6fbf8f9ca86742950111dcd7d645012fe8f46f1f6669be3d3dc7db407998",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-06-09T16:30:26Z",
    "title_canon_sha256": "70e5cec688da24a7ed73c867fedaf7c254f32d1afef49dda4a0a0f07f07a961d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11067",
    "kind": "arxiv",
    "version": 1
  }
}