Pith Number

pith:FKODJ3NM

pith:2015:FKODJ3NMUP35YBXJKMNF74EVHZ

not attested not anchored not stored refs pending

Frequent Directions : Simple and Deterministic Matrix Sketching

David P. Woodruff, Edo Liberty, Jeff M. Phillips, Mina Ghashami

arxiv:1501.01711 v2 · 2015-01-08 · 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{FKODJ3NMUP35YBXJKMNF74EVHZ}

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.

Cited by

1 paper in Pith

Improved large-scale graph learning through ridge spectral sparsification

Receipt and verification

First computed	2026-05-18T02:18:21.401439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a9c34edaca3f7dc06e9531a5ff0953e5a6ba03c78fa9f9cce5048a987c8664f

Aliases

arxiv: 1501.01711 · arxiv_version: 1501.01711v2 · doi: 10.48550/arxiv.1501.01711 · pith_short_12: FKODJ3NMUP35 · pith_short_16: FKODJ3NMUP35YBXJ · pith_short_8: FKODJ3NM

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/FKODJ3NMUP35YBXJKMNF74EVHZ \
  | 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: 2a9c34edaca3f7dc06e9531a5ff0953e5a6ba03c78fa9f9cce5048a987c8664f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74a89d0531f77fad56f27924744055118b647d7d7093775833b3f624c7ec2164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-01-08T02:32:32Z",
    "title_canon_sha256": "ca730cf89a77499de4cea108568673e942068e7caeee9a1b32937a890b2892e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01711",
    "kind": "arxiv",
    "version": 2
  }
}