Pith Number

pith:ITBXIDDV

pith:2018:ITBXIDDVSFB2WMULUAQCVVR7EA

not attested not anchored not stored refs pending

Block minimal bases $\ell$-ifications of matrix polynomials

Froil\'an M. Dopico, Javier P\'erez, Paul Van Dooren

arxiv:1803.06306 v1 · 2018-03-16 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITBXIDDVSFB2WMULUAQCVVR7EA}

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	2026-05-18T00:20:49.955388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c3740c759143ab328ba0202ad63f2026145469f9fadf04c42ffdab00702308

Aliases

arxiv: 1803.06306 · arxiv_version: 1803.06306v1 · doi: 10.48550/arxiv.1803.06306 · pith_short_12: ITBXIDDVSFB2 · pith_short_16: ITBXIDDVSFB2WMUL · pith_short_8: ITBXIDDV

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/ITBXIDDVSFB2WMULUAQCVVR7EA \
  | 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: 44c3740c759143ab328ba0202ad63f2026145469f9fadf04c42ffdab00702308

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee6b374afef47e248e6fb536cb182061eb0af49bd7056a0e88165ee3a1704e24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-16T16:48:08Z",
    "title_canon_sha256": "402c4dff6cff26883d8c3b29e33ac5252246fac6216be0f8689e04f88b6ccc2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06306",
    "kind": "arxiv",
    "version": 1
  }
}