Pith Number

pith:S3MRS4LC

pith:2026:S3MRS4LCHN2TTQRBLQDRPMQVND

not attested not anchored not stored refs pending

Near-Optimal Dimension Lower Bounds for Single-Vector Embeddings of Maximum Inner Product Similarity

David P. Woodruff, Honghao Lin, Rajesh Jayaram, Vahab Mirrokni

arxiv:2607.20393 v1 · 2026-07-22 · cs.DS · 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{S3MRS4LCHN2TTQRBLQDRPMQVND}

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	2026-07-23T01:25:18.843736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96d91971623b7539c2215c0717b21568c0ff3fcad21af78c0872e0f6d03bc90a

Aliases

arxiv: 2607.20393 · arxiv_version: 2607.20393v1 · doi: 10.48550/arxiv.2607.20393 · pith_short_12: S3MRS4LCHN2T · pith_short_16: S3MRS4LCHN2TTQRB · pith_short_8: S3MRS4LC

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/S3MRS4LCHN2TTQRBLQDRPMQVND \
  | 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: 96d91971623b7539c2215c0717b21568c0ff3fcad21af78c0872e0f6d03bc90a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2248e809f5aaa7948b11165ada22a3022c2ea356eab4d644c655bbbddd55ad",
    "cross_cats_sorted": [
      "cs.IR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-22T17:27:20Z",
    "title_canon_sha256": "287f0bd57b0f9def2b623c2eef53444985f5eabf78baa065b0359c79678473c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20393",
    "kind": "arxiv",
    "version": 1
  }
}