Pith Number

pith:5ARAU5AJ

pith:2022:5ARAU5AJGJNH5O7URIDTTZ352F

not attested not anchored not stored refs pending

The Strategic Balance of Games in Logic

Jouko V\"a\"an\"anen

arxiv:2212.01658 v2 · 2022-12-03 · 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{5ARAU5AJGJNH5O7URIDTTZ352F}

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.

Cited by

1 paper in Pith

Meaning as Use, Application, Employment, Purpose, Usefulness

Receipt and verification

First computed	2026-07-05T05:53:35.063903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8220a7409325a7ebbf48a0739e77dd177b4505d3302c633e92e54cc90a301b2

Aliases

arxiv: 2212.01658 · arxiv_version: 2212.01658v2 · doi: 10.48550/arxiv.2212.01658 · pith_short_12: 5ARAU5AJGJNH · pith_short_16: 5ARAU5AJGJNH5O7U · pith_short_8: 5ARAU5AJ

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/5ARAU5AJGJNH5O7URIDTTZ352F \
  | 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: e8220a7409325a7ebbf48a0739e77dd177b4505d3302c633e92e54cc90a301b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fcacbc91216533cbd4f1070f17f81054f8b859bbcb2c3fb0431e28f80dfcf83",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-12-03T17:55:04Z",
    "title_canon_sha256": "006ac7d274687537e3cf12b9448722616e561d6baa08a1749463dc8f0bf1f743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01658",
    "kind": "arxiv",
    "version": 2
  }
}