Pith Number

pith:3KJDOKNZ

pith:2015:3KJDOKNZWN6PR3IFLX4DSEQ5ZM

not attested not anchored not stored refs pending

Scott ranks of models of a theory

Matthew Harrison-Trainor

arxiv:1510.07759 v1 · 2015-10-27 · 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{3KJDOKNZWN6PR3IFLX4DSEQ5ZM}

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	2026-05-18T01:29:12.701905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da923729b9b37cf8ed055df839121dcb171ff7994d23d9ca58cbbcd4898de374

Aliases

arxiv: 1510.07759 · arxiv_version: 1510.07759v1 · doi: 10.48550/arxiv.1510.07759 · pith_short_12: 3KJDOKNZWN6P · pith_short_16: 3KJDOKNZWN6PR3IF · pith_short_8: 3KJDOKNZ

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/3KJDOKNZWN6PR3IFLX4DSEQ5ZM \
  | 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: da923729b9b37cf8ed055df839121dcb171ff7994d23d9ca58cbbcd4898de374

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e669ddf55d9d7901b12bc31d308d71c66d26537141d29f301b5d941196ffae2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-27T03:14:28Z",
    "title_canon_sha256": "7c89a3178871e66dcad4a16d11595050c8c0d9ac8f1963072e2fa0ed361e0656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07759",
    "kind": "arxiv",
    "version": 1
  }
}