Pith Number

pith:ORIQLRKZ

pith:2018:ORIQLRKZ4O7CQVYOPTJXPYXCIU

not attested not anchored not stored refs pending

On sequences covering all rainbow $k$-progressions

Leonardo Alese, Paul Tabatabai, Stefan Lendl

arxiv:1802.03285 v1 · 2018-02-09 · 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{ORIQLRKZ4O7CQVYOPTJXPYXCIU}

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	2026-05-18T00:23:58.097022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

745105c559e3be28570e7cd377e2e2452da7b85e0cced5488a590de69779e130

Aliases

arxiv: 1802.03285 · arxiv_version: 1802.03285v1 · doi: 10.48550/arxiv.1802.03285 · pith_short_12: ORIQLRKZ4O7C · pith_short_16: ORIQLRKZ4O7CQVYO · pith_short_8: ORIQLRKZ

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/ORIQLRKZ4O7CQVYOPTJXPYXCIU \
  | 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: 745105c559e3be28570e7cd377e2e2452da7b85e0cced5488a590de69779e130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b9f52d8ecf3b12c905675d4bbdf8cc07661f202e0c1514fa6c0d4dcc3de25b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-09T14:48:12Z",
    "title_canon_sha256": "a4a00a2a98b9a6182186bb45960351a81384234b11001009ea46b17f59928ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03285",
    "kind": "arxiv",
    "version": 1
  }
}