Pith Number

pith:XQ4RTWX7

pith:2013:XQ4RTWX7KNAA77YX3GCDQ4RIRF

not attested not anchored not stored refs pending

Programs in C++ for matrix computations in min plus algebra

Gheorghe Ivan, Mihai Ivan

arxiv:1306.5526 v1 · 2013-06-24 · math.RA · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQ4RTWX7KNAA77YX3GCDQ4RIRF}

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	2026-05-18T03:20:07.733704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3919daff53400fff17d984387228897686e338e56b2501d4e46cb4d32edbcb

Aliases

arxiv: 1306.5526 · arxiv_version: 1306.5526v1 · doi: 10.48550/arxiv.1306.5526 · pith_short_12: XQ4RTWX7KNAA · pith_short_16: XQ4RTWX7KNAA77YX · pith_short_8: XQ4RTWX7

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/XQ4RTWX7KNAA77YX3GCDQ4RIRF \
  | 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: bc3919daff53400fff17d984387228897686e338e56b2501d4e46cb4d32edbcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c0575e26aa8a850c5ca2296bd182c177683e6757d7420c2521d885cd6c444e",
    "cross_cats_sorted": [
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-06-24T07:33:16Z",
    "title_canon_sha256": "765a1510b281d80feab550e94fa1f09472285c0762639e6f5037b9d40c343024"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5526",
    "kind": "arxiv",
    "version": 1
  }
}