Pith Number

pith:PJ7MVG3W

pith:2025:PJ7MVG3W32G74M74GNHCW4SRAA

not attested not anchored not stored refs pending

$k$-PCA for (non-squared) Euclidean Distances: Polynomial Time Approximation

Dan Feldman, Daniel Greenhut

arxiv:2507.14631 v1 · 2025-07-19 · cs.LG · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ7MVG3W32G74M74GNHCW4SRAA}

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	2026-07-05T11:40:10.877283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7eca9b76de8dfe33fc334e2b7251000bd413c9baf8e1f39a3ea32ab570b8cd

Aliases

arxiv: 2507.14631 · arxiv_version: 2507.14631v1 · doi: 10.48550/arxiv.2507.14631 · pith_short_12: PJ7MVG3W32G7 · pith_short_16: PJ7MVG3W32G74M74 · pith_short_8: PJ7MVG3W

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/PJ7MVG3W32G74M74GNHCW4SRAA \
  | 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: 7a7eca9b76de8dfe33fc334e2b7251000bd413c9baf8e1f39a3ea32ab570b8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed2e443bbe8c365e9983bbc1055d791e90041aab3f2b4a4bdf8e8ab8b7f28004",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-19T14:00:50Z",
    "title_canon_sha256": "7c3f6f370474e2328378e778d69e3d2601b3c449bd66db4a07bbe9f4890cfcd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14631",
    "kind": "arxiv",
    "version": 1
  }
}