Pith Number

pith:NRW4R4TJ

pith:2019:NRW4R4TJBWOJRRNNVHZHX5JUDX

not attested not anchored not stored refs pending

A game-theoretic proof of Shelah's theorem on labeled trees

Trevor M. Wilson

arxiv:1908.02442 v1 · 2019-08-07 · 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{NRW4R4TJBWOJRRNNVHZHX5JUDX}

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	2026-07-04T23:52:08.970694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6dc8f2690d9c98c5ada9f27bf5341df705e877d2d0a44b5a4fe3e57b5339d2

Aliases

arxiv: 1908.02442 · arxiv_version: 1908.02442v1 · doi: 10.48550/arxiv.1908.02442 · pith_short_12: NRW4R4TJBWOJ · pith_short_16: NRW4R4TJBWOJRRNN · pith_short_8: NRW4R4TJ

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/NRW4R4TJBWOJRRNNVHZHX5JUDX \
  | 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: 6c6dc8f2690d9c98c5ada9f27bf5341df705e877d2d0a44b5a4fe3e57b5339d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffff0e21a3d9d5952f431365e3a36139a555571478f8e8bb8e9f10a9f9edef8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-08-07T05:11:38Z",
    "title_canon_sha256": "17f267202e8966c7a67f1d059ce64504d6df7182f72e9dd1e581590c1798d743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02442",
    "kind": "arxiv",
    "version": 1
  }
}