pith. sign in
Pith Number

pith:4QI6KXLT

pith:2015:4QI6KXLTGZPDCXLEPDKIHD26PI
not attested not anchored not stored refs pending

Weiqi games as a tree: Zipf's law of openings and beyond

Li-Gong Xu, Ming-Xia Li, Wei-Xing Zhou (ECUST)

arxiv:1503.03745 v2 · 2015-03-11 · physics.soc-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4QI6KXLTGZPDCXLEPDKIHD26PI}

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 2026-05-18T01:40:58.718684Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e411e55d73365e315d6478d4838f5e7a1b981550cb7376f25fb7d640725522eb

Aliases

arxiv: 1503.03745 · arxiv_version: 1503.03745v2 · doi: 10.48550/arxiv.1503.03745 · pith_short_12: 4QI6KXLTGZPD · pith_short_16: 4QI6KXLTGZPDCXLE · pith_short_8: 4QI6KXLT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4QI6KXLTGZPDCXLEPDKIHD26PI \
  | 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: e411e55d73365e315d6478d4838f5e7a1b981550cb7376f25fb7d640725522eb
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6405da78fad15f40480e34e8bf6890dbf5aaa88fcdbe33978aa5dba2ff96d1a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-03-11T11:36:03Z",
    "title_canon_sha256": "8245c84b164389807d2db8db5bcf9efea2eab18e60bb06e8364b5404a09e7e5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03745",
    "kind": "arxiv",
    "version": 2
  }
}