Pith Number

pith:K3BPGUP7

pith:2007:K3BPGUP7B4LOXSZWPKTLTLNYSM

not attested not anchored not stored refs pending

Relative-Error CUR Matrix Decompositions

Michael W. Mahoney, Petros Drineas, S. Muthukrishnan

arxiv:0708.3696 v1 · 2007-08-27 · 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{K3BPGUP7B4LOXSZWPKTLTLNYSM}

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	2026-07-04T15:03:51.561374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56c2f351ff0f16ebcb367aa6b9adb8931d949e65b14daf01c8442ebfe13e345f

Aliases

arxiv: 0708.3696 · arxiv_version: 0708.3696v1 · doi: 10.48550/arxiv.0708.3696 · pith_short_12: K3BPGUP7B4LO · pith_short_16: K3BPGUP7B4LOXSZW · pith_short_8: K3BPGUP7

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/K3BPGUP7B4LOXSZWPKTLTLNYSM \
  | 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: 56c2f351ff0f16ebcb367aa6b9adb8931d949e65b14daf01c8442ebfe13e345f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6237e2e5e050febceffec5d2e8e42834bc8eb1a4601c75f07ee7c6740895e2ea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DS",
    "submitted_at": "2007-08-27T23:34:50Z",
    "title_canon_sha256": "9ec6cd55963ca00f1bfab9b8fd515a0b09de0125fdfd496a542f7d6a9972a04b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3696",
    "kind": "arxiv",
    "version": 1
  }
}