Pith Number

pith:XEKTPKP4

pith:2016:XEKTPKP4K6JHS2ALJOBAIA5LJF

not attested not anchored not stored refs pending

Seas of squares with sizes from a $\Pi^0_1$ set

Linda Brown Westrick

arxiv:1609.07411 v2 · 2016-09-23 · math.DS · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEKTPKP4K6JHS2ALJOBAIA5LJF}

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	2026-05-18T01:03:56.255173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b91537a9fc579279680b4b820403ab4950cfe09f3b7c260fb6f182c8c7dfb00a

Aliases

arxiv: 1609.07411 · arxiv_version: 1609.07411v2 · doi: 10.48550/arxiv.1609.07411 · pith_short_12: XEKTPKP4K6JH · pith_short_16: XEKTPKP4K6JHS2AL · pith_short_8: XEKTPKP4

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/XEKTPKP4K6JHS2ALJOBAIA5LJF \
  | 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: b91537a9fc579279680b4b820403ab4950cfe09f3b7c260fb6f182c8c7dfb00a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17466f118bc4b6b9452cf93311eb45bb603cc7753e107ae6a31fbc1af309318",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-23T16:06:51Z",
    "title_canon_sha256": "cc5027e0f714bef77e85c3577a5caa593663e8d43d26d83ce4236acc1054dbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07411",
    "kind": "arxiv",
    "version": 2
  }
}