Pith Number

pith:H636JS2H

pith:2017:H636JS2HY4WDFIJMQUCRQOAQCK

not attested not anchored not stored refs pending

Generic expansion and Skolemization in NSOP$_1$ theories

Alex Kruckman, Nicholas Ramsey

arxiv:1706.06616 v2 · 2017-06-20 · 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{H636JS2HY4WDFIJMQUCRQOAQCK}

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	2026-05-18T00:05:39.727647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb7e4cb47c72c32a12c850518381012b72af7668d5bbc851d6f5303894aff91

Aliases

arxiv: 1706.06616 · arxiv_version: 1706.06616v2 · doi: 10.48550/arxiv.1706.06616 · pith_short_12: H636JS2HY4WD · pith_short_16: H636JS2HY4WDFIJM · pith_short_8: H636JS2H

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/H636JS2HY4WDFIJMQUCRQOAQCK \
  | 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: 3fb7e4cb47c72c32a12c850518381012b72af7668d5bbc851d6f5303894aff91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc8b379306f466af910a59bc7cc9af7da4af6bf02ec56e5e31cd5b9d67c5a123",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-06-20T18:40:42Z",
    "title_canon_sha256": "d9399b885ede637d0c0e1a26442a20ae6b9a48f100a4d423d8e8afdf160a80fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06616",
    "kind": "arxiv",
    "version": 2
  }
}