Pith Number

pith:QPTYPLOP

pith:2012:QPTYPLOPVHET2YJONLDSRXEGDZ

not attested not anchored not stored refs pending

The Schroder-Bernstein property for a-saturated models

John Goodrick, Michael C. Laskowski

arxiv:1202.6535 v2 · 2012-02-29 · 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{QPTYPLOPVHET2YJONLDSRXEGDZ}

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	2026-05-18T03:57:52.768386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e787adcfa9c93d612e6ac728dc861e4ecef67efec06da13e36aae34d565283

Aliases

arxiv: 1202.6535 · arxiv_version: 1202.6535v2 · doi: 10.48550/arxiv.1202.6535 · pith_short_12: QPTYPLOPVHET · pith_short_16: QPTYPLOPVHET2YJO · pith_short_8: QPTYPLOP

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/QPTYPLOPVHET2YJONLDSRXEGDZ \
  | 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: 83e787adcfa9c93d612e6ac728dc861e4ecef67efec06da13e36aae34d565283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666a8b729bb6f7444d15603b88f0faa5edaa090c5f5814a1f799f48cc2c3a63e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-02-29T13:08:17Z",
    "title_canon_sha256": "d2c7c006066aa2d509238e3e840db78758aa2559047bcc97237fe28946700d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6535",
    "kind": "arxiv",
    "version": 2
  }
}