Pith Number

pith:ENTUPLHC

pith:1993:ENTUPLHC6SNUH4MIZEBPMK753E

not attested not anchored not stored refs pending

On the number of automorphism of uncontable models

Heikki Tuuri, Jouko V\"a\"an\"anen, Saharon Shelah

arxiv:math/9301205 v1 · 1993-01-15 · 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{ENTUPLHC6SNUH4MIZEBPMK753E}

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	2026-05-18T01:05:52.391800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236747ace2f49b43f188c902f62bfdd908e2ab1a5fa157cb9bfca077bd330b07

Aliases

arxiv: math/9301205 · arxiv_version: math/9301205v1 · doi: 10.48550/arxiv.math/9301205 · pith_short_12: ENTUPLHC6SNU · pith_short_16: ENTUPLHC6SNUH4MI · pith_short_8: ENTUPLHC

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/ENTUPLHC6SNUH4MIZEBPMK753E \
  | 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: 236747ace2f49b43f188c902f62bfdd908e2ab1a5fa157cb9bfca077bd330b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea758f280c40e0355bbf95ec05e1ea4291293cbdef8b9cc9bc04ac1d74735bde",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1993-01-15T00:00:00Z",
    "title_canon_sha256": "070f7d94a670b5918b300a7f5eff234943098de8d91362b52d7ecf6cc11e8330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9301205",
    "kind": "arxiv",
    "version": 1
  }
}