Pith Number

pith:XR47TVIE

pith:2015:XR47TVIEM3NROV5GKWKHZCPV2O

not attested not anchored not stored refs pending

Union of Saturated Models in Superstable Abstract Elementary Classes

Monica M. VanDieren

arxiv:1507.01989 v3 · 2015-07-07 · 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{XR47TVIEM3NROV5GKWKHZCPV2O}

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	2026-05-18T01:23:38.141989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc79f9d50466db1757a655947c89f5d398c956b424b1f464a936fdf2bfce340e

Aliases

arxiv: 1507.01989 · arxiv_version: 1507.01989v3 · doi: 10.48550/arxiv.1507.01989 · pith_short_12: XR47TVIEM3NR · pith_short_16: XR47TVIEM3NROV5G · pith_short_8: XR47TVIE

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/XR47TVIEM3NROV5GKWKHZCPV2O \
  | 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: bc79f9d50466db1757a655947c89f5d398c956b424b1f464a936fdf2bfce340e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71ee1afbec611ac656a47952af372a91016f8038a6b040c49e2793bf7ef92d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-07-07T23:41:18Z",
    "title_canon_sha256": "c7d1d38d8272ed862d5c65447c8eb313a0750988e7a90d72347be845e22dcef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01989",
    "kind": "arxiv",
    "version": 3
  }
}