Pith Number

pith:UL2OQQTQ

pith:2026:UL2OQQTQJMKP4SMCIKALE7W74H

not attested not anchored not stored refs pending

Convergence analysis of a family of Zermelo-type iterations for the Bradley--Terry model

Ding Lu, Ruijian Han, Yiming Xu

arxiv:2607.22221 v1 · 2026-07-24 · stat.ML · cs.LG · cs.NA · math.NA · stat.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{UL2OQQTQJMKP4SMCIKALE7W74H}

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	2026-07-27T01:20:54.462641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f4e842704b14fe49824280b27edfe1ce81bc10b63e7faeb8efe5966ceaec81

Aliases

arxiv: 2607.22221 · arxiv_version: 2607.22221v1 · doi: 10.48550/arxiv.2607.22221 · pith_short_12: UL2OQQTQJMKP · pith_short_16: UL2OQQTQJMKP4SMC · pith_short_8: UL2OQQTQ

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/UL2OQQTQJMKP4SMCIKALE7W74H \
  | 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: a2f4e842704b14fe49824280b27edfe1ce81bc10b63e7faeb8efe5966ceaec81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "051453a901b4b2911067487155eff4ba23ce1baa9f54067a0ebfb275080eb5a9",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-24T11:39:24Z",
    "title_canon_sha256": "13107d3035415e22a4c3a7bb06d0bc89e58b27b2177708e905a49585e035e49b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22221",
    "kind": "arxiv",
    "version": 1
  }
}