Pith Number

pith:Q6XIRYM7

pith:2011:Q6XIRYM77RTRFBYT2P63JLGW7X

not attested not anchored not stored refs pending

The behaviour of the complete eigenstructure of a polynomial matrix under a generic rational transformation

Vanni Noferini

arxiv:1111.4004 v4 · 2011-11-17 · 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{Q6XIRYM77RTRFBYT2P63JLGW7X}

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	2026-05-18T03:58:03.017620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ae88e19ffc67128713d3fdb4acd6fdef21c3e7bef1d9cab1725a72ff544de3

Aliases

arxiv: 1111.4004 · arxiv_version: 1111.4004v4 · doi: 10.48550/arxiv.1111.4004 · pith_short_12: Q6XIRYM77RTR · pith_short_16: Q6XIRYM77RTRFBYT · pith_short_8: Q6XIRYM7

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/Q6XIRYM77RTRFBYT2P63JLGW7X \
  | 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: 87ae88e19ffc67128713d3fdb4acd6fdef21c3e7bef1d9cab1725a72ff544de3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4e166d749627a18f37b542d6d9fe06895a04f55389414e62d73b415520916b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-11-17T01:51:56Z",
    "title_canon_sha256": "645f1997d06772f3aa195e913aca3cf4e82c1deee4e85a1146c4b6719c1216cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4004",
    "kind": "arxiv",
    "version": 4
  }
}