Pith Number

pith:JLNZ5RLJ

pith:2026:JLNZ5RLJBFEZGFGSURD7DKGFDB

not attested not anchored not stored refs pending

On the notion of a patterning property in model theory

Gabriel Day, Scott Mutchnik

arxiv:2606.18533 v1 · 2026-06-16 · 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{JLNZ5RLJBFEZGFGSURD7DKGFDB}

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

Some applications of the real strict order property hierarchy

Receipt and verification

First computed	2026-06-19T16:11:40.285293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adb9ec56909499314d2a447f1a8c5187b04ebbf3172d66737631cf0b984a149

Aliases

arxiv: 2606.18533 · arxiv_version: 2606.18533v1 · doi: 10.48550/arxiv.2606.18533 · pith_short_12: JLNZ5RLJBFEZ · pith_short_16: JLNZ5RLJBFEZGFGS · pith_short_8: JLNZ5RLJ

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/JLNZ5RLJBFEZGFGSURD7DKGFDB \
  | 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: 4adb9ec56909499314d2a447f1a8c5187b04ebbf3172d66737631cf0b984a149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8086530a1efe1ac2a1e558ecc5485e85a8d152d2ad77fb62cf7b08ef02cb8340",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-06-16T22:59:16Z",
    "title_canon_sha256": "838a16d4bcbbbf2484179253f7e2d6b98370a1ae3ea2ba67c4587db18d3fcfc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18533",
    "kind": "arxiv",
    "version": 1
  }
}