Pith Number

pith:GWVLDK3Z

pith:2026:GWVLDK3ZKK243SWZ7TH5D2IANT

not attested not anchored not stored refs pending

The Covariate-Assisted Bayesian Intransitive Bradley-Terry Model via Combinatorial Hodge Theory

Hisaya Okahara, Shonosuke Sugasawa, Tomoyuki Nakagawa

arxiv:2601.07158 v2 · 2026-01-12 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GWVLDK3ZKK243SWZ7TH5D2IANT}

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	2026-06-23T03:13:53.269875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35aab1ab7952b5cdcad9fccfd1e9006cf9827035ded2a2ca497ef8a121e0fc0f

Aliases

arxiv: 2601.07158 · arxiv_version: 2601.07158v2 · doi: 10.48550/arxiv.2601.07158 · pith_short_12: GWVLDK3ZKK24 · pith_short_16: GWVLDK3ZKK243SWZ · pith_short_8: GWVLDK3Z

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/GWVLDK3ZKK243SWZ7TH5D2IANT \
  | 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: 35aab1ab7952b5cdcad9fccfd1e9006cf9827035ded2a2ca497ef8a121e0fc0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b1afa3abe2febf9d721763a6c656658f1a08ece3e07ddea7a4b7534118d831",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-01-12T03:12:10Z",
    "title_canon_sha256": "d3cd6696f79f71b31a515651fa9e6c5d857fbc6c9623297837ccba5f98c162f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.07158",
    "kind": "arxiv",
    "version": 2
  }
}