Pith Number

pith:WR533EHU

pith:2026:WR533EHUHLMW5JYVA5ZVX32BAO

not attested not anchored not stored refs pending

Hitting Arithmetic Progressions at the Square-Root Scale

Samuel Korsky

arxiv:2606.01780 v1 · 2026-06-01 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WR533EHUHLMW5JYVA5ZVX32BAO}

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	2026-06-02T02:04:56.521676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b47bbd90f43ad96ea71507735bef4103a68e8029c97dd9e96f468848522030d8

Aliases

arxiv: 2606.01780 · arxiv_version: 2606.01780v1 · doi: 10.48550/arxiv.2606.01780 · pith_short_12: WR533EHUHLMW · pith_short_16: WR533EHUHLMW5JYV · pith_short_8: WR533EHU

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/WR533EHUHLMW5JYVA5ZVX32BAO \
  | 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: b47bbd90f43ad96ea71507735bef4103a68e8029c97dd9e96f468848522030d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ec1dbc31d49380f3062591ae56bdf09484f90f3d32ff62616a9796bdc8e607",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T07:02:08Z",
    "title_canon_sha256": "4426db3621107f13b108ae5a5fb90e6d7be04a6677fd4e53f0868a69cc99d7da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01780",
    "kind": "arxiv",
    "version": 1
  }
}