Pith Number

pith:73LZIFEL

pith:2024:73LZIFELVV3655V5UMMYCPOGO3

not attested not anchored not stored refs pending

Additive Ramsey theory over Piatetski-Shapiro numbers

Jonathan Chapman, Philippa Holdridge, Sam Chow

arxiv:2410.14427 v4 · 2024-10-18 · math.NT · 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{73LZIFELVV3655V5UMMYCPOGO3}

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	2026-05-17T23:39:21.978147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fed794148bad77eef6bda319813dc676c181c8827eda2427f967f9c84ff82292

Aliases

arxiv: 2410.14427 · arxiv_version: 2410.14427v4 · doi: 10.48550/arxiv.2410.14427 · pith_short_12: 73LZIFELVV36 · pith_short_16: 73LZIFELVV3655V5 · pith_short_8: 73LZIFEL

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/73LZIFELVV3655V5UMMYCPOGO3 \
  | 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: fed794148bad77eef6bda319813dc676c181c8827eda2427f967f9c84ff82292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f9c72cd423d648e8ea757cc4f1f5d633047af0d9ba784a57105b19619a7d8d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-18T12:43:58Z",
    "title_canon_sha256": "e217d034e0ecbe7337fa123bb826eb3577713e1529e8f37d38a05163af7fcce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.14427",
    "kind": "arxiv",
    "version": 4
  }
}