Pith Number

pith:WB652IJZ

pith:2016:WB652IJZSU3EJOXG2A7WPC6GD6

not attested not anchored not stored refs pending

The Matrix Chain Algorithm to Compile Linear Algebra Expressions

Henrik Barthels, Paolo Bientinesi

arxiv:1611.05660 v1 · 2016-11-17 · 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{WB652IJZSU3EJOXG2A7WPC6GD6}

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	2026-05-18T00:58:02.946480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07ddd2139953644bae6d03f678bc61f85cc432fb3274f31a7cb3881beff9a53

Aliases

arxiv: 1611.05660 · arxiv_version: 1611.05660v1 · doi: 10.48550/arxiv.1611.05660 · pith_short_12: WB652IJZSU3E · pith_short_16: WB652IJZSU3EJOXG · pith_short_8: WB652IJZ

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/WB652IJZSU3EJOXG2A7WPC6GD6 \
  | 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: b07ddd2139953644bae6d03f678bc61f85cc432fb3274f31a7cb3881beff9a53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2479996ae7ebb828fb50709fa6eaaa3e8ce1ce0444a043aece984213ff5402a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-17T12:44:15Z",
    "title_canon_sha256": "bf02d94c9790f45c79a49d8e60a1fbae5ad6678ca60b3ed7a3f7bb53ffc10693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05660",
    "kind": "arxiv",
    "version": 1
  }
}