Pith Number

pith:TG5W3R3G

pith:2026:TG5W3R3GTYYAUM7DXUQH3XBWUR

not attested not anchored not stored refs pending

Comeager hereditary families of compact sets are big

Peter Ban\'a\v{s}

arxiv:2608.13523 v1 · 2026-08-13 · 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{TG5W3R3GTYYAUM7DXUQH3XBWUR}

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	2026-08-14T01:24:57.562755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99bb6dc7669e300a33e3bd207ddc36a4714474c88831eb8d5d93f20e0f1c9457

Aliases

arxiv: 2608.13523 · arxiv_version: 2608.13523v1 · doi: 10.48550/arxiv.2608.13523 · pith_short_12: TG5W3R3GTYYA · pith_short_16: TG5W3R3GTYYAUM7D · pith_short_8: TG5W3R3G

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/TG5W3R3GTYYAUM7DXUQH3XBWUR \
  | 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: 99bb6dc7669e300a33e3bd207ddc36a4714474c88831eb8d5d93f20e0f1c9457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af8328cf2d061caa018b3f6b1c34d2fb2ac3ffb0eba2101d909bf9913df2d7fe",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-08-13T17:43:09Z",
    "title_canon_sha256": "44352b23fb08d322d86f71f31d54eee5f3cfb13d69df346071587b053aca76bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13523",
    "kind": "arxiv",
    "version": 1
  }
}