Pith Number

pith:XSZ47VEI

pith:2018:XSZ47VEIZUAJ3KPLRZEKY54P4S

not attested not anchored not stored refs pending

Construction of a one-dimensional set which asymptotically and omnidirectionally contains arithmetic progressions

Kota Saito

arxiv:1805.12063 v2 · 2018-05-30 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSZ47VEIZUAJ3KPLRZEKY54P4S}

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	2026-05-18T00:03:24.451399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb3cfd488cd009da9eb8e48ac778fe4a1afaccdcb13d8f21a1d245825a80957

Aliases

arxiv: 1805.12063 · arxiv_version: 1805.12063v2 · doi: 10.48550/arxiv.1805.12063 · pith_short_12: XSZ47VEIZUAJ · pith_short_16: XSZ47VEIZUAJ3KPL · pith_short_8: XSZ47VEI

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/XSZ47VEIZUAJ3KPLRZEKY54P4S \
  | 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: bcb3cfd488cd009da9eb8e48ac778fe4a1afaccdcb13d8f21a1d245825a80957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a87bffd5f46cd9f2496f33b7f725f166e4bfcff77f78882453d7c4453972551",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-30T16:31:03Z",
    "title_canon_sha256": "0f383a388d4a0084eadaecdf96827a8c7bf3f7c51ef68a65f6ff5a1e88b35cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12063",
    "kind": "arxiv",
    "version": 2
  }
}