Pith Number

pith:BNWN45AM

pith:2026:BNWN45AMDXR3WMQCEJABBFBDYY

not attested not anchored not stored refs pending

Population-Level Generative Modeling for Ranking Data

Zhaoyang Shi

arxiv:2608.08422 v1 · 2026-08-09 · stat.ME · cs.LG · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNWN45AMDXR3WMQCEJABBFBDYY}

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	2026-08-11T01:22:35.953286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6cde740c1de3bb32022240109423c6133e487da9b488dab9b0f8ec3a16bfff

Aliases

arxiv: 2608.08422 · arxiv_version: 2608.08422v1 · doi: 10.48550/arxiv.2608.08422 · pith_short_12: BNWN45AMDXR3 · pith_short_16: BNWN45AMDXR3WMQC · pith_short_8: BNWN45AM

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/BNWN45AMDXR3WMQCEJABBFBDYY \
  | 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: 0b6cde740c1de3bb32022240109423c6133e487da9b488dab9b0f8ec3a16bfff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff880998845562eae14f782a00bca3f2b8c43ff06ba0ab75f09e6b2bfc38193",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-08-09T02:36:49Z",
    "title_canon_sha256": "9aa54fbcd3d7999168a70e6cb4d90b5721462c7bcefe57e781f3105a56389cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08422",
    "kind": "arxiv",
    "version": 1
  }
}