Pith Number

pith:27BZSZ7D

pith:2015:27BZSZ7DBKSS7352AOSCCYKJPU

not attested not anchored not stored refs pending

Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles

Cameron Donnay Hill, Lynn Scow, Vincent Guingona

arxiv:1511.07245 v1 · 2015-11-23 · 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{27BZSZ7DBKSS7352AOSCCYKJPU}

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	2026-05-18T01:26:11.862724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c39967e30aa52fefba03a42161497d3d9197d54c7acb6fe0bb6518b128a97b

Aliases

arxiv: 1511.07245 · arxiv_version: 1511.07245v1 · doi: 10.48550/arxiv.1511.07245 · pith_short_12: 27BZSZ7DBKSS · pith_short_16: 27BZSZ7DBKSS7352 · pith_short_8: 27BZSZ7D

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/27BZSZ7DBKSS7352AOSCCYKJPU \
  | 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: d7c39967e30aa52fefba03a42161497d3d9197d54c7acb6fe0bb6518b128a97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b25c422f9cf7850d77b4a6d83bdcfc2635cc0ff1f9f9133d56c3a2720625fe99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-23T14:49:40Z",
    "title_canon_sha256": "3bdb993d4cf62264e85f6a4b2bad26e1d06915e6517f1e8da77764bf37ce76d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07245",
    "kind": "arxiv",
    "version": 1
  }
}