Pith Number

pith:4TMWKLXA

pith:2026:4TMWKLXA7K52KCU4C4C7XWMFV7

not attested not anchored not stored refs pending

Listing the hyperarithmetical functions

Gian Marco Osso, Isabella Scott, Joseph S. Miller

arxiv:2605.21194 v1 · 2026-05-20 · 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{4TMWKLXA7K52KCU4C4C7XWMFV7}

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	2026-05-21T01:05:42.822244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d9652ee0fabba50a9c1705fbd985afc56e47333bf7c7fb62e1a40745eb6959

Aliases

arxiv: 2605.21194 · arxiv_version: 2605.21194v1 · doi: 10.48550/arxiv.2605.21194 · pith_short_12: 4TMWKLXA7K52 · pith_short_16: 4TMWKLXA7K52KCU4 · pith_short_8: 4TMWKLXA

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/4TMWKLXA7K52KCU4C4C7XWMFV7 \
  | 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: e4d9652ee0fabba50a9c1705fbd985afc56e47333bf7c7fb62e1a40745eb6959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3781fabb42738efbf6c54a5856c79ed717bac24f9ca62766a2f9108c6f3154e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-20T13:56:42Z",
    "title_canon_sha256": "dc29627029b4debf5c7241203d2d92ac4219060c618a8318c8bf4a5786944586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21194",
    "kind": "arxiv",
    "version": 1
  }
}