Pith Number

pith:QGNCXQND

pith:1999:QGNCXQND6HFP5X765HVZ4F4EBH

not attested not anchored not stored refs pending

On what I do not understand (and have something to say), model theory

Saharon Shelah

arxiv:math/9910158 v1 · 1999-10-28 · 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{QGNCXQND6HFP5X765HVZ4F4EBH}

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.

Cited by

2 papers in Pith

On the notion of a patterning property in model theory

Some applications of the real strict order property hierarchy

Receipt and verification

First computed	2026-07-04T14:41:21.350129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

819a2bc1a3f1cafedffee9eb9e178409d14ad5ee34db61781c9bfbfb4d20cb77

Aliases

arxiv: math/9910158 · arxiv_version: math/9910158v1 · doi: 10.48550/arxiv.math/9910158 · pith_short_12: QGNCXQND6HFP · pith_short_16: QGNCXQND6HFP5X76 · pith_short_8: QGNCXQND

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/QGNCXQND6HFP5X765HVZ4F4EBH \
  | 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: 819a2bc1a3f1cafedffee9eb9e178409d14ad5ee34db61781c9bfbfb4d20cb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0638862dea753b8cc3ccd99ac0e3d29d123009ab0d9c47ff47497894c75ca943",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1999-10-28T16:13:33Z",
    "title_canon_sha256": "353106eaee67140c10fb9b762e426897c154bc3f54157dca08f047f9fe7dda01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910158",
    "kind": "arxiv",
    "version": 1
  }
}