Pith Number

pith:N24HQPSR

pith:2013:N24HQPSRERURLWRGSI6DFWTHOJ

not attested not anchored not stored refs pending

The Borel cardinality of Lascar strong types

Benjamin Miller, Itay Kaplan, Pierre Simon

arxiv:1301.1197 v1 · 2013-01-07 · 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{N24HQPSRERURLWRGSI6DFWTHOJ}

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	2026-05-18T00:44:30.121958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6eb8783e51246915da26923c32da677264490680eb20ba39a6749331235298c6

Aliases

arxiv: 1301.1197 · arxiv_version: 1301.1197v1 · doi: 10.48550/arxiv.1301.1197 · pith_short_12: N24HQPSRERUR · pith_short_16: N24HQPSRERURLWRG · pith_short_8: N24HQPSR

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/N24HQPSRERURLWRGSI6DFWTHOJ \
  | 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: 6eb8783e51246915da26923c32da677264490680eb20ba39a6749331235298c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3638a6d079ef546a571d74837b12208562b32427ca1d01ec16d3188fa750a589",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-01-07T14:00:33Z",
    "title_canon_sha256": "68d42ae93173999db1488b17968607c252ba643189e8d4dadb30544bbb3c58ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1197",
    "kind": "arxiv",
    "version": 1
  }
}