Pith Number

pith:3BZMRM5S

pith:2026:3BZMRM5SK2LSUULTNUO7K3VSSE

not attested not anchored not stored refs pending

What Limits Does Quantization Place on Dense Top-$k$ Retrieval? A Theoretical Study

Koki Okajima, Tsukasa Yoshida

arxiv:2606.11780 v1 · 2026-06-10 · cs.IR · cs.AI · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BZMRM5SK2LSUULTNUO7K3VSSE}

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	2026-06-11T01:10:07.426637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d872c8b3b256972a51736d1df56eb291335e2cc38fb2b028d985788bbc024390

Aliases

arxiv: 2606.11780 · arxiv_version: 2606.11780v1 · doi: 10.48550/arxiv.2606.11780 · pith_short_12: 3BZMRM5SK2LS · pith_short_16: 3BZMRM5SK2LSUULT · pith_short_8: 3BZMRM5S

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/3BZMRM5SK2LSUULTNUO7K3VSSE \
  | 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: d872c8b3b256972a51736d1df56eb291335e2cc38fb2b028d985788bbc024390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2bf2905e771b58a1a038f97eb8ae55f86aa6d14746687fa3c39d20ed8defa1b",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.IR",
    "submitted_at": "2026-06-10T08:11:41Z",
    "title_canon_sha256": "ceeb451d253048ce3c6af33e0573a0172792a09e87d7f09f4a3c55d387d90f83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11780",
    "kind": "arxiv",
    "version": 1
  }
}