Pith Number

pith:ADWFYVG5

pith:2025:ADWFYVG55HN3IST63FUYQIVEB3

not attested not anchored not stored refs pending

Closure Properties and Characterizations of TotP

Yaroslav Ivanashev

arxiv:2504.20262 v5 · 2025-04-28 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADWFYVG55HN3IST63FUYQIVEB3}

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.

Cited by

1 paper in Pith

Low Sets and Closure Properties of Counting Function Classes

Receipt and verification

First computed	2026-07-05T11:38:29.059231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ec5c54dde9dbb44a7ed9698822a40ed84c12dbb75b96c99697027eaa1c18b0

Aliases

arxiv: 2504.20262 · arxiv_version: 2504.20262v5 · doi: 10.48550/arxiv.2504.20262 · pith_short_12: ADWFYVG55HN3 · pith_short_16: ADWFYVG55HN3IST6 · pith_short_8: ADWFYVG5

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/ADWFYVG55HN3IST63FUYQIVEB3 \
  | 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: 00ec5c54dde9dbb44a7ed9698822a40ed84c12dbb75b96c99697027eaa1c18b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add17cf59dacad1ccde61b327bbcbdb1b9a06c31aa6e537f46b3f06addf10cf3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-04-28T21:07:13Z",
    "title_canon_sha256": "c903db53a230471c01ad911d40ed43d15369c2199f4c1a646736f0c41c0477b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.20262",
    "kind": "arxiv",
    "version": 5
  }
}