Pith Number

pith:CT7CFUKF

pith:2026:CT7CFUKFG5ZXQ5QIZJYONDCXUW

not attested not anchored not stored refs pending

A Rank-One Popularity Component in Dot-Product Recommender Scores:Population Theory and Prior-Separation Evidence

Yang Cheng

arxiv:2606.21275 v1 · 2026-06-19 · cs.IR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CT7CFUKFG5ZXQ5QIZJYONDCXUW}

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	2026-06-23T01:12:35.635224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14fe22d1453773787608ca70e68c57a5bc8ba09a7c994611a9ebc7c296614cd5

Aliases

arxiv: 2606.21275 · arxiv_version: 2606.21275v1 · doi: 10.48550/arxiv.2606.21275 · pith_short_12: CT7CFUKFG5ZX · pith_short_16: CT7CFUKFG5ZXQ5QI · pith_short_8: CT7CFUKF

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/CT7CFUKFG5ZXQ5QIZJYONDCXUW \
  | 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: 14fe22d1453773787608ca70e68c57a5bc8ba09a7c994611a9ebc7c296614cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8df16c836bbbf04d0cde9d7a54234f9a336d182af377296afca151300320982b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2026-06-19T09:49:50Z",
    "title_canon_sha256": "79b895502ebcfbdbd20b3d465bff2d2f53383bd23ad8bf77aacacae7e647e560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21275",
    "kind": "arxiv",
    "version": 1
  }
}