Pith Number

pith:JI7FH3XC

pith:2025:JI7FH3XCELXUYC32AAXGZACAHI

not attested not anchored not stored refs pending

A Tight Lower Bound for the Approximation Guarantee of Higher-Order Singular Value Decomposition

Matthew Fahrbach, Mehrdad Ghadiri

arxiv:2508.06693 v1 · 2025-08-08 · cs.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JI7FH3XCELXUYC32AAXGZACAHI}

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	2026-07-05T11:51:05.078331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a3e53eee222ef4c0b7a002e6c80403a305411dbcfd4d851fd490b11602662ec

Aliases

arxiv: 2508.06693 · arxiv_version: 2508.06693v1 · doi: 10.48550/arxiv.2508.06693 · pith_short_12: JI7FH3XCELXU · pith_short_16: JI7FH3XCELXUYC32 · pith_short_8: JI7FH3XC

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/JI7FH3XCELXUYC32AAXGZACAHI \
  | 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: 4a3e53eee222ef4c0b7a002e6c80403a305411dbcfd4d851fd490b11602662ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff36ef15527e9f0410e5a60a2ab55a48529aac2f669902fe84e460a12ad26174",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-08-08T20:34:57Z",
    "title_canon_sha256": "53bc458ab529172ab2c990f9f5d7eb73fe163269e1a177acc922f0ef4ef9da65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06693",
    "kind": "arxiv",
    "version": 1
  }
}