Pith Number

pith:ZAOOWNNU

pith:2011:ZAOOWNNUOOEKNKRTIPTMRHYWNJ

not attested not anchored not stored refs pending

Time and spectral domain relative entropy: A new approach to multivariate spectral estimation

Augusto Ferrante, Chiara Masiero, Michele Pavon

arxiv:1103.5602 v2 · 2011-03-29 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAOOWNNUOOEKNKRTIPTMRHYWNJ}

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	2026-05-18T04:12:02.072203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c81ceb35b47388a6aa3343e6c89f166a40889493be7eed95acba7ebb13226eb7

Aliases

arxiv: 1103.5602 · arxiv_version: 1103.5602v2 · doi: 10.48550/arxiv.1103.5602 · pith_short_12: ZAOOWNNUOOEK · pith_short_16: ZAOOWNNUOOEKNKRT · pith_short_8: ZAOOWNNU

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/ZAOOWNNUOOEKNKRTIPTMRHYWNJ \
  | 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: c81ceb35b47388a6aa3343e6c89f166a40889493be7eed95acba7ebb13226eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5cb26631bb510d2f49f9e6cb34af727b39ddb8e93da5f1a9354abf137ddce4",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-03-29T11:10:57Z",
    "title_canon_sha256": "0332a9c53fe76068fd3cf72f3fc3d7e966e4001b12d535c8388f6deb868c72d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5602",
    "kind": "arxiv",
    "version": 2
  }
}