Pith Number

pith:4TD5445P

pith:2013:4TD5445PPAJ22ZGAWGRFWGE55Z

not attested not anchored not stored refs pending

On principles between $\Sigma_1$- and $\Sigma_2$-induction, and monotone enumerations

Alexander P. Kreuzer, Keita Yokoyama

arxiv:1306.1936 v5 · 2013-06-08 · 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{4TD5445PPAJ22ZGAWGRFWGE55Z}

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	2026-05-18T01:24:30.920521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c7de73af7813ad64c0b1a25b189dee4d23217cc02e24cceb94ca6c77135272

Aliases

arxiv: 1306.1936 · arxiv_version: 1306.1936v5 · doi: 10.48550/arxiv.1306.1936 · pith_short_12: 4TD5445PPAJ2 · pith_short_16: 4TD5445PPAJ22ZGA · pith_short_8: 4TD5445P

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/4TD5445PPAJ22ZGAWGRFWGE55Z \
  | 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: e4c7de73af7813ad64c0b1a25b189dee4d23217cc02e24cceb94ca6c77135272

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42762ac4310816245d6eb0daebf20830a824a8831328e6f07cbc4380368864fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-06-08T15:51:13Z",
    "title_canon_sha256": "d7c476e81643e19f347b4398c38e257662cb9358f698e92d1a685acbda8d0332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1936",
    "kind": "arxiv",
    "version": 5
  }
}