Pith Number

pith:6CVQGCY5

pith:2016:6CVQGCY5QTEZ62D72I2F2R6D5E

not attested not anchored not stored refs pending

Proof-theoretic strengths of weak theories for positive inductive definitions

Toshiyasu Arai

arxiv:1603.01342 v7 · 2016-03-04 · 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{6CVQGCY5QTEZ62D72I2F2R6D5E}

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	2026-05-18T00:23:01.891371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ab030b1d84c99f687fd2345d47c3e9324560c52d4d9737ff96067f63a9630f

Aliases

arxiv: 1603.01342 · arxiv_version: 1603.01342v7 · doi: 10.48550/arxiv.1603.01342 · pith_short_12: 6CVQGCY5QTEZ · pith_short_16: 6CVQGCY5QTEZ62D7 · pith_short_8: 6CVQGCY5

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/6CVQGCY5QTEZ62D72I2F2R6D5E \
  | 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: f0ab030b1d84c99f687fd2345d47c3e9324560c52d4d9737ff96067f63a9630f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51463e11de79e052f5c06033675f6d6b6c6292bdb076c4ee6623c474ecacb18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-04T04:15:21Z",
    "title_canon_sha256": "6e031177efa5bddaa15b4adc88424c2526d65fe613046fd551fa14c0d6b03396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01342",
    "kind": "arxiv",
    "version": 7
  }
}