Pith Number

pith:TAQJ2ONW

pith:2026:TAQJ2ONWCLZ7OORKEAMWM2R2LI

not attested not anchored not stored refs pending

A New Ehrenfeucht-Fra\"iss\'e Game for Dependence Logic

Joni Puljuj\"arvi, Jouko V\"a\"an\"anen

arxiv:2606.00812 v1 · 2026-05-30 · math.LO · cs.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{TAQJ2ONWCLZ7OORKEAMWM2R2LI}

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	2026-06-02T01:04:06.378122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98209d39b612f3f73a2a2019666a3a5a2b1da8eb6e9b345d885af63e6509fd40

Aliases

arxiv: 2606.00812 · arxiv_version: 2606.00812v1 · doi: 10.48550/arxiv.2606.00812 · pith_short_12: TAQJ2ONWCLZ7 · pith_short_16: TAQJ2ONWCLZ7OORK · pith_short_8: TAQJ2ONW

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/TAQJ2ONWCLZ7OORKEAMWM2R2LI \
  | 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: 98209d39b612f3f73a2a2019666a3a5a2b1da8eb6e9b345d885af63e6509fd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53c1a972d8b5476b8cc7060a37a778d3f5dd600c90b346d2681053c12a440870",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-30T16:59:55Z",
    "title_canon_sha256": "1a98958632a1bddb157ba0fa9d47779be4bc1d1568d9898f55c245707cc85d60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00812",
    "kind": "arxiv",
    "version": 1
  }
}