Pith Number

pith:MGK4A4TY

pith:2015:MGK4A4TY2GXF4SEZCRYSJPLVVY

not attested not anchored not stored refs pending

Matrix Computations and Optimization in Apache Spark

Aaron Staple, Alexander Ulanov, Burak Yavuz, Evan Sparks, Li Pu, Matei Zaharia, Reza Bosagh Zadeh, Shivaram Venkataraman, Xiangrui Meng

arxiv:1509.02256 v3 · 2015-09-08 · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGK4A4TY2GXF4SEZCRYSJPLVVY}

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	2026-05-18T01:11:08.504305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6195c07278d1ae5e4899147124bd75ae0dbae4c701c84fa121a4506356317cea

Aliases

arxiv: 1509.02256 · arxiv_version: 1509.02256v3 · doi: 10.48550/arxiv.1509.02256 · pith_short_12: MGK4A4TY2GXF · pith_short_16: MGK4A4TY2GXF4SEZ · pith_short_8: MGK4A4TY

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/MGK4A4TY2GXF4SEZCRYSJPLVVY \
  | 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: 6195c07278d1ae5e4899147124bd75ae0dbae4c701c84fa121a4506356317cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cd50bf81379ed15a4b9f178438ac39a40887aa8f19437aeba8d6999d6c95045",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DC",
    "submitted_at": "2015-09-08T05:33:39Z",
    "title_canon_sha256": "1461c042afa87e352ecfbcae7f7ea7865dc34005f9869b188b28d6af3f2594bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02256",
    "kind": "arxiv",
    "version": 3
  }
}