Pith Number

pith:Q3OOMYUJ

pith:2012:Q3OOMYUJYZ5AVFS5QA6LFVXLXS

not attested not anchored not stored refs pending

Predicatively computable functions on sets

Toshiyasu Arai

arxiv:1204.5582 v10 · 2012-04-25 · 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{Q3OOMYUJYZ5AVFS5QA6LFVXLXS}

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	2026-05-18T02:32:46.596967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86dce66289c67a0a965d803cb2d6ebbc8a36dc36213d9a0db808298e3ec7af28

Aliases

arxiv: 1204.5582 · arxiv_version: 1204.5582v10 · doi: 10.48550/arxiv.1204.5582 · pith_short_12: Q3OOMYUJYZ5A · pith_short_16: Q3OOMYUJYZ5AVFS5 · pith_short_8: Q3OOMYUJ

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/Q3OOMYUJYZ5AVFS5QA6LFVXLXS \
  | 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: 86dce66289c67a0a965d803cb2d6ebbc8a36dc36213d9a0db808298e3ec7af28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45338f311f42997df1fcc6d9e3639083f15a98be742fefca77d3e6c181d7293e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-04-25T08:21:11Z",
    "title_canon_sha256": "6d91c4e5eb6599675b2b3d94c189386f0b197ff25418f4b78ae391fb1838d5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5582",
    "kind": "arxiv",
    "version": 10
  }
}