Pith Number

pith:5VITIE3B

pith:2015:5VITIE3BSKAT2CM4ZYQJI645QK

not attested not anchored not stored refs pending

Equivalent definitions of superstability in tame abstract elementary classes

Rami Grossberg, Sebastien Vasey

arxiv:1507.04223 v5 · 2015-07-15 · 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{5VITIE3BSKAT2CM4ZYQJI645QK}

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	2026-05-18T00:26:16.843255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5134136192813d099cce20947b9d8296bf4d1bd6f7ae523d50f4f03e0f92c4

Aliases

arxiv: 1507.04223 · arxiv_version: 1507.04223v5 · doi: 10.48550/arxiv.1507.04223 · pith_short_12: 5VITIE3BSKAT · pith_short_16: 5VITIE3BSKAT2CM4 · pith_short_8: 5VITIE3B

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/5VITIE3BSKAT2CM4ZYQJI645QK \
  | 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: ed5134136192813d099cce20947b9d8296bf4d1bd6f7ae523d50f4f03e0f92c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14d231d16156ead292e784fdc0bca10ae1e62b846c7983decf0b5ffee9eebc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-07-15T13:55:10Z",
    "title_canon_sha256": "d6f31b20a387326012778216961c80ae44f5c70f60a45ef42bd413f414a4e8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04223",
    "kind": "arxiv",
    "version": 5
  }
}