Pith Number

pith:LZ2UVVEU

pith:2011:LZ2UVVEUH5RHHIYXNEDZTXP2DT

not attested not anchored not stored refs pending

A duality relation for matrix pencils with application to linearizations

Federico Poloni

arxiv:1110.3641 v1 · 2011-10-17 · 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{LZ2UVVEUH5RHHIYXNEDZTXP2DT}

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	2026-05-18T02:44:32.678005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e754ad4943f6273a317690799ddfa1ccc50922253f93cdd98560fe8c9d0c888

Aliases

arxiv: 1110.3641 · arxiv_version: 1110.3641v1 · doi: 10.48550/arxiv.1110.3641 · pith_short_12: LZ2UVVEUH5RH · pith_short_16: LZ2UVVEUH5RHHIYX · pith_short_8: LZ2UVVEU

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/LZ2UVVEUH5RHHIYXNEDZTXP2DT \
  | 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: 5e754ad4943f6273a317690799ddfa1ccc50922253f93cdd98560fe8c9d0c888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f9d386c709851156f64a5967ac37ac2342ecd1bc615514042d94ea6da7397e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-10-17T11:35:59Z",
    "title_canon_sha256": "f09227c924f8edd6e5a6857df54dd58fda75f77c645f9911929b6c1a8a67d94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3641",
    "kind": "arxiv",
    "version": 1
  }
}