Pith Number

pith:FZH642Q3

pith:2011:FZH642Q3NIZRNJYMGWZEAWDYJW

not attested not anchored not stored refs pending

Exact computation of joint spectral characteristics of linear operators

Nicola Guglielmi, Vladimir Protasov

arxiv:1106.3755 v1 · 2011-06-19 · math.OC · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZH642Q3NIZRNJYMGWZEAWDYJW}

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	2026-05-18T04:19:42.250085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e4fee6a1b6a3316a70c35b24058784da3d9109a330f781c59cd2e179a63ce55

Aliases

arxiv: 1106.3755 · arxiv_version: 1106.3755v1 · doi: 10.48550/arxiv.1106.3755 · pith_short_12: FZH642Q3NIZR · pith_short_16: FZH642Q3NIZRNJYM · pith_short_8: FZH642Q3

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/FZH642Q3NIZRNJYMGWZEAWDYJW \
  | 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: 2e4fee6a1b6a3316a70c35b24058784da3d9109a330f781c59cd2e179a63ce55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73059f690a906acbd7959c6ab4ac768118053bc7c6ec029197ae297522a658e3",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-06-19T15:35:12Z",
    "title_canon_sha256": "937dbd4cedb6abf652a2813dff370b949f13c789272415b6140afdc7b2ddeaa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3755",
    "kind": "arxiv",
    "version": 1
  }
}