Pith Number

pith:G5VSMIE4

pith:2026:G5VSMIE45LKOOS2YFFXHF2KZN5

not attested not anchored not stored refs pending

$\mathbb{R}^{2k}$ is Theoretically Large Enough for Embedding-based Top-$k$ Retrieval

Ginny Wong, Hanghang Tong, Hang Yin, Lihui Liu, Simon See, Yangqiu Song, Zihao Wang

arxiv:2601.20844 v3 · 2026-01-28 · cs.LG · cs.AI · 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{G5VSMIE45LKOOS2YFFXHF2KZN5}

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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.

Cited by

1 paper in Pith

Is Dimensionality a Barrier for Retrieval Models?

Receipt and verification

First computed	2026-06-03T01:05:09.541113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376b26209cead4e74b58296e72e9596f6d94b722ed5fd81221ff86d37ea73512

Aliases

arxiv: 2601.20844 · arxiv_version: 2601.20844v3 · doi: 10.48550/arxiv.2601.20844 · pith_short_12: G5VSMIE45LKO · pith_short_16: G5VSMIE45LKOOS2Y · pith_short_8: G5VSMIE4

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/G5VSMIE45LKOOS2YFFXHF2KZN5 \
  | 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: 376b26209cead4e74b58296e72e9596f6d94b722ed5fd81221ff86d37ea73512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac613715cd29d4a3e3cfcc4905cddb29cc596bd5af5c5905bfc9401dbc4d3191",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-28T18:45:43Z",
    "title_canon_sha256": "dc7ccf7b70324ac67e8e52b0dca662b988a8a38fcc3f1c457bdd602f35c85451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.20844",
    "kind": "arxiv",
    "version": 3
  }
}