Pith Number

pith:KS3I5MFW

pith:2013:KS3I5MFWKBVRN4OL4BRYXXASR6

not attested not anchored not stored refs pending

Rational approximations of spectral densities based on the Alpha divergence

Mattia Zorzi

arxiv:1302.5131 v2 · 2013-02-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS3I5MFWKBVRN4OL4BRYXXASR6}

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	2026-05-18T03:13:00.023162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b68eb0b6506b16f1cbe0638bdc128fab52171173d465a48eaf8da978e27ec0

Aliases

arxiv: 1302.5131 · arxiv_version: 1302.5131v2 · doi: 10.48550/arxiv.1302.5131 · pith_short_12: KS3I5MFWKBVR · pith_short_16: KS3I5MFWKBVRN4OL · pith_short_8: KS3I5MFW

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/KS3I5MFWKBVRN4OL4BRYXXASR6 \
  | 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: 54b68eb0b6506b16f1cbe0638bdc128fab52171173d465a48eaf8da978e27ec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f038a3646fbbe584de9af3b7cc23617e2d717f504295fbae0dc72406d48fbd18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-20T21:34:46Z",
    "title_canon_sha256": "7aea045a09947797c4daf8b0af21656d1c101dbfc3c72aa49fc4667b7de1afb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5131",
    "kind": "arxiv",
    "version": 2
  }
}