Pith Number

pith:XKS53WYO

pith:2016:XKS53WYOAGK5GW7K3ZVXYVTOUQ

not attested not anchored not stored refs pending

A Borel-reducibility Counterpart of Shelah's Main Gap Theorem

Miguel Moreno, Tapani Hyttinen, Vadim Kulikov

arxiv:1602.00605 v1 · 2016-02-01 · 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{XKS53WYOAGK5GW7K3ZVXYVTOUQ}

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	2026-05-18T01:21:33.261343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa5dddb0e0195d35beade6b7c566ea42a779d2f95689b8aa80af3cdf513a47b

Aliases

arxiv: 1602.00605 · arxiv_version: 1602.00605v1 · doi: 10.48550/arxiv.1602.00605 · pith_short_12: XKS53WYOAGK5 · pith_short_16: XKS53WYOAGK5GW7K · pith_short_8: XKS53WYO

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/XKS53WYOAGK5GW7K3ZVXYVTOUQ \
  | 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: baa5dddb0e0195d35beade6b7c566ea42a779d2f95689b8aa80af3cdf513a47b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a431125d616581ef6cad6519cd6ddb6e8c23b3da461f6e04183bed111964725b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-02-01T17:36:27Z",
    "title_canon_sha256": "bd6fd014470c9171ca9983ea19df24633b3a2b58a48c36183bb9bc27934533f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00605",
    "kind": "arxiv",
    "version": 1
  }
}