Pith Number

pith:DOKXNFEV

pith:2026:DOKXNFEVFG2SYPSJGXTXZA7WDY

not attested not anchored not stored refs pending

Decidability and Undecidability Results for LIA-Definable Impartial Combinatorial Games

Jiahao Luo, Liangda Fang, Quanlong Guan, Shiguang Feng

arxiv:2606.25276 v1 · 2026-06-24 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOKXNFEVFG2SYPSJGXTXZA7WDY}

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	2026-06-25T01:18:00.643723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9576949529b52c3e4935e77c83f61e1625b7f39b85555adbe62ee66aae2fab

Aliases

arxiv: 2606.25276 · arxiv_version: 2606.25276v1 · doi: 10.48550/arxiv.2606.25276 · pith_short_12: DOKXNFEVFG2S · pith_short_16: DOKXNFEVFG2SYPSJ · pith_short_8: DOKXNFEV

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/DOKXNFEVFG2SYPSJGXTXZA7WDY \
  | 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: 1b9576949529b52c3e4935e77c83f61e1625b7f39b85555adbe62ee66aae2fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f17d9682096e2b86592a81e804b81e473318617086308be537d38bd6feeec11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-24T01:28:19Z",
    "title_canon_sha256": "52f36020a6b8a65764716e506a4dd10c327dfa2c142f25023954c8691ba54fc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25276",
    "kind": "arxiv",
    "version": 1
  }
}