Pith Number

pith:TCIQVIK7

pith:2014:TCIQVIK7V35KXD3I77JVFWYD5O

not attested not anchored not stored refs pending

The Input/Output Complexity of Sparse Matrix Multiplication

Morten St\"ockel, Rasmus Pagh

arxiv:1403.3551 v1 · 2014-03-14 · 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{TCIQVIK7V35KXD3I77JVFWYD5O}

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	2026-05-18T02:56:20.157616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98910aa15faefaab8f68ffd352db03eb9bf2078b4ba88a052658a7d2dcbd5883

Aliases

arxiv: 1403.3551 · arxiv_version: 1403.3551v1 · doi: 10.48550/arxiv.1403.3551 · pith_short_12: TCIQVIK7V35K · pith_short_16: TCIQVIK7V35KXD3I · pith_short_8: TCIQVIK7

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/TCIQVIK7V35KXD3I77JVFWYD5O \
  | 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: 98910aa15faefaab8f68ffd352db03eb9bf2078b4ba88a052658a7d2dcbd5883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6152934f55dbaee8a9d81d45f0bb6ecb29833bbdcf8cb592e9da945e3cc5a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-03-14T12:18:26Z",
    "title_canon_sha256": "0f1eb0cb1d93f3297f2d1ee484b541945ec8d6f4be4b342b353e305ef18701ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3551",
    "kind": "arxiv",
    "version": 1
  }
}