Pith Number

pith:ZPJXUZOS

pith:2017:ZPJXUZOSL6XT4FVO6OT57BNM5P

not attested not anchored not stored refs pending

Universal classes near $\aleph_1$

Marcos Mazari-Armida, Sebastien Vasey

arxiv:1712.02880 v5 · 2017-12-07 · 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{ZPJXUZOSL6XT4FVO6OT57BNM5P}

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	2026-05-17T23:55:38.893065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd37a65d25faf3e16aef3a7df85acebd61960279944e31ef62d6353dd992094

Aliases

arxiv: 1712.02880 · arxiv_version: 1712.02880v5 · doi: 10.48550/arxiv.1712.02880 · pith_short_12: ZPJXUZOSL6XT · pith_short_16: ZPJXUZOSL6XT4FVO · pith_short_8: ZPJXUZOS

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/ZPJXUZOSL6XT4FVO6OT57BNM5P \
  | 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: cbd37a65d25faf3e16aef3a7df85acebd61960279944e31ef62d6353dd992094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c4b7fa848664da35c5a0e8ea36711ee2efc1c09882d00f6d247584af17e5731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-12-07T22:47:50Z",
    "title_canon_sha256": "52cc2b2b09caa29625b84057b8da9947b2ad4ae01cb67df64640893a96677ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02880",
    "kind": "arxiv",
    "version": 5
  }
}