Pith Number

pith:N4SLIP3I

pith:2012:N4SLIP3IDE6PVHMNSWRYQZXJ5I

not attested not anchored not stored refs pending

Quasiminimal structures and excellence

Bradd Hart, Jonathan Kirby, Martin Bays, Meeri Kes\"al\"a, Tapani Hyttinen

arxiv:1210.2008 v3 · 2012-10-06 · 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{N4SLIP3IDE6PVHMNSWRYQZXJ5I}

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	2026-05-18T02:39:24.299042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f24b43f68193cfa9d8d95a38866e9ea3cd16fcdd9f7016207bc5ffffa6a21f5

Aliases

arxiv: 1210.2008 · arxiv_version: 1210.2008v3 · doi: 10.48550/arxiv.1210.2008 · pith_short_12: N4SLIP3IDE6P · pith_short_16: N4SLIP3IDE6PVHMN · pith_short_8: N4SLIP3I

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/N4SLIP3IDE6PVHMNSWRYQZXJ5I \
  | 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: 6f24b43f68193cfa9d8d95a38866e9ea3cd16fcdd9f7016207bc5ffffa6a21f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b7e26bc428b26e0be0c259e7c6166daaa553d5a9910cdc37be516dc459195e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-10-06T22:37:00Z",
    "title_canon_sha256": "02020027805fc934af1032f40727e3d89351866292fd2fe4c3e09e478472b442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2008",
    "kind": "arxiv",
    "version": 3
  }
}