Pith Number

pith:AAEJJX6Q

pith:2026:AAEJJX6QDAVPJTBVNGUMPS5MFW

not attested not anchored not stored refs pending

Regularization in Paired Comparison Models via Pseudo-Games and Phantom Players

Mark E. Glickman

arxiv:2606.03805 v1 · 2026-06-02 · 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{AAEJJX6QDAVPJTBVNGUMPS5MFW}

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	2026-06-03T02:06:02.864582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

000894dfd0182af4cc3569a8c7cbac2db93c13950b0ebae029009b82a345b7a8

Aliases

arxiv: 2606.03805 · arxiv_version: 2606.03805v1 · doi: 10.48550/arxiv.2606.03805 · pith_short_12: AAEJJX6QDAVP · pith_short_16: AAEJJX6QDAVPJTBV · pith_short_8: AAEJJX6Q

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/AAEJJX6QDAVPJTBVNGUMPS5MFW \
  | 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: 000894dfd0182af4cc3569a8c7cbac2db93c13950b0ebae029009b82a345b7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "924954635ee5880c2bad6a89c1b7ef73f830628fad646be9322982361930c89c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-02T15:50:47Z",
    "title_canon_sha256": "de544ad410a0bc187646c55193970bc4af17d24aa368dcbf6383ea4dcd1e589c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03805",
    "kind": "arxiv",
    "version": 1
  }
}