Pith Number

pith:DCTL3IK4

pith:2015:DCTL3IK4ZQWPGN32W2JCG43A75

not attested not anchored not stored refs pending

${\Sigma}^0_3$ determinacy and ${\mathbf{\Pi}}^1_2$ monotone induction

Sherwood Hachtman

arxiv:1509.02446 v1 · 2015-09-08 · 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{DCTL3IK4ZQWPGN32W2JCG43A75}

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	2026-05-18T01:33:40.871741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a6bda15ccc2cf3377ab692237360ff7a92a34420bb67f3620c3d8213f11524

Aliases

arxiv: 1509.02446 · arxiv_version: 1509.02446v1 · doi: 10.48550/arxiv.1509.02446 · pith_short_12: DCTL3IK4ZQWP · pith_short_16: DCTL3IK4ZQWPGN32 · pith_short_8: DCTL3IK4

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/DCTL3IK4ZQWPGN32W2JCG43A75 \
  | 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: 18a6bda15ccc2cf3377ab692237360ff7a92a34420bb67f3620c3d8213f11524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c510ef0217d8d80d075125d84dc1d1656021a498045d5a3db0f518865b1b1d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-09-08T16:59:29Z",
    "title_canon_sha256": "7f3aad5271f3373f60aad0fcc1cf7ab5524e700eb502dc94bd24aee49d199a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02446",
    "kind": "arxiv",
    "version": 1
  }
}