Pith Number

pith:ABXQ6PZZ

pith:2024:ABXQ6PZZUQPPR45HY4QMY4JERF

not attested not anchored not stored refs pending

On the downward L\"owenheim-Skolem Theorem for elementary submodels

Matthias Kunik

arxiv:2406.03860 v3 · 2024-06-06 · 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{ABXQ6PZZUQPPR45HY4QMY4JERF}

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

1 paper in Pith

On a new theory of models for formal mathematical systems

Receipt and verification

First computed	2026-06-02T02:04:44.865553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006f0f3f39a41ef8f3a7c720cc7124897526988a553fd2e20866e0d0133cfe71

Aliases

arxiv: 2406.03860 · arxiv_version: 2406.03860v3 · doi: 10.48550/arxiv.2406.03860 · pith_short_12: ABXQ6PZZUQPP · pith_short_16: ABXQ6PZZUQPPR45H · pith_short_8: ABXQ6PZZ

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/ABXQ6PZZUQPPR45HY4QMY4JERF \
  | 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: 006f0f3f39a41ef8f3a7c720cc7124897526988a553fd2e20866e0d0133cfe71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29cd85f4c26a52a7fee04fa5b9450c717e2a9ac327cf51311cdf4523d7b5e513",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-06-06T08:46:52Z",
    "title_canon_sha256": "19ea068c1a47f61aa625d84f1da84dda280720db74da18a26cadea1105136fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.03860",
    "kind": "arxiv",
    "version": 3
  }
}