Pith Number

pith:V5QDZK3M

pith:2015:V5QDZK3ME7SCCHV5I3KLQ7TB7F

not attested not anchored not stored refs pending

Keisler's order has infinitely many classes

M. Malliaris, S. Shelah

arxiv:1503.08341 v2 · 2015-03-28 · 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{V5QDZK3ME7SCCHV5I3KLQ7TB7F}

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	2026-05-18T01:35:00.672106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af603cab6c27e4211ebd46d4b87e61f962afe64aed1b9f12a253d1f63bbaeb47

Aliases

arxiv: 1503.08341 · arxiv_version: 1503.08341v2 · doi: 10.48550/arxiv.1503.08341 · pith_short_12: V5QDZK3ME7SC · pith_short_16: V5QDZK3ME7SCCHV5 · pith_short_8: V5QDZK3M

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/V5QDZK3ME7SCCHV5I3KLQ7TB7F \
  | 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: af603cab6c27e4211ebd46d4b87e61f962afe64aed1b9f12a253d1f63bbaeb47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91245ce06cb41d560c05bf76774e3484076a3e8df0758baf8368942187bcf7e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-03-28T19:59:20Z",
    "title_canon_sha256": "5bf1e22c51e8fd58e38021a2ce808a9b3f036f61c8f6e2e10bf613255e0af936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08341",
    "kind": "arxiv",
    "version": 2
  }
}