Pith Number

pith:YJQEXZ4P

pith:2023:YJQEXZ4PA7LU5EL7D6XGVKOU6Y

not attested not anchored not stored refs pending

Progress towards the 1/2-Conjecture for the domination game

Julien Portier, Leo Versteegen

arxiv:2301.05202 v2 · 2023-01-12 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJQEXZ4PA7LU5EL7D6XGVKOU6Y}

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	2026-07-05T05:39:30.343195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2604be78f07d74e917f1fae6aa9d4f60ca5cc3b16c28509419e97150f32b0f3

Aliases

arxiv: 2301.05202 · arxiv_version: 2301.05202v2 · doi: 10.48550/arxiv.2301.05202 · pith_short_12: YJQEXZ4PA7LU · pith_short_16: YJQEXZ4PA7LU5EL7 · pith_short_8: YJQEXZ4P

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/YJQEXZ4PA7LU5EL7D6XGVKOU6Y \
  | 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: c2604be78f07d74e917f1fae6aa9d4f60ca5cc3b16c28509419e97150f32b0f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d3a613134d5b64c2e639b08496c4c386aa47bcf82a53d314b4928848b33f2d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-01-12T18:35:55Z",
    "title_canon_sha256": "712e272ebfa46157229309f52afc7ca76a5add750b5a93bba4932bc9071c154a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05202",
    "kind": "arxiv",
    "version": 2
  }
}