Pith Number

pith:GZKQBW34

pith:2016:GZKQBW34YGRF5SLA2OOU56ACQ5

not attested not anchored not stored refs pending

A framework for structured linearizations of matrix polynomials in various bases

Leonardo Robol, Paul Van Dooren, Raf Vandebril

arxiv:1603.05773 v2 · 2016-03-18 · 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{GZKQBW34YGRF5SLA2OOU56ACQ5}

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	2026-05-18T01:11:31.337837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365500db7cc1a25ec960d39d4ef80287522b45d5df8513ae98d3481eaec8f7ef

Aliases

arxiv: 1603.05773 · arxiv_version: 1603.05773v2 · doi: 10.48550/arxiv.1603.05773 · pith_short_12: GZKQBW34YGRF · pith_short_16: GZKQBW34YGRF5SLA · pith_short_8: GZKQBW34

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/GZKQBW34YGRF5SLA2OOU56ACQ5 \
  | 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: 365500db7cc1a25ec960d39d4ef80287522b45d5df8513ae98d3481eaec8f7ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff258115fbee70f622c5240950015c2dd0034ff45725340859190738efc6876",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-03-18T06:08:31Z",
    "title_canon_sha256": "1903e743a68ec07d581f6240474dd59fa778b670c0b0097b0098aefa6ae4ed62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05773",
    "kind": "arxiv",
    "version": 2
  }
}