Pith Number

pith:RQL2A4XM

pith:2026:RQL2A4XM3VYW234CG4C76HLXV3

not attested not anchored not stored refs pending

Tournament Ranking: Duality and Efficiency

Ge Song, Mengxi Yang, Wenan Zang

arxiv:2606.31565 v1 · 2026-06-30 · 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{RQL2A4XM3VYW234CG4C76HLXV3}

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	2026-07-01T01:18:07.281102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c17a072ecdd716d6f823705ff1d77aecd38529d87a5e0d86aacebef78911639

Aliases

arxiv: 2606.31565 · arxiv_version: 2606.31565v1 · doi: 10.48550/arxiv.2606.31565 · pith_short_12: RQL2A4XM3VYW · pith_short_16: RQL2A4XM3VYW234C · pith_short_8: RQL2A4XM

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/RQL2A4XM3VYW234CG4C76HLXV3 \
  | 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: 8c17a072ecdd716d6f823705ff1d77aecd38529d87a5e0d86aacebef78911639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79691be920fec221afa03c2027956f35ee6ac858c1bafc1454bca3483c8d212",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-30T12:23:11Z",
    "title_canon_sha256": "b27fd9732367acd0c1765c4286cef493bcd965111e6d77ca3e23141e6ab272d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31565",
    "kind": "arxiv",
    "version": 1
  }
}