Pith Number

pith:JMEAEZDO

pith:2015:JMEAEZDOU4GNEB5UYPBSMYBK3R

not attested not anchored not stored refs pending

Representation and Factorization of Discrete-Time Rational All-Pass Functions

Augusto Ferrante, Giorgio Picci

arxiv:1509.05868 v1 · 2015-09-19 · math.OC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMEAEZDOU4GNEB5UYPBSMYBK3R}

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	2026-05-18T01:32:36.485405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0802646ea70cd207b4c3c326602adc7aaa8c024c0c3ba27c1d2288af97f0a1

Aliases

arxiv: 1509.05868 · arxiv_version: 1509.05868v1 · doi: 10.48550/arxiv.1509.05868 · pith_short_12: JMEAEZDOU4GN · pith_short_16: JMEAEZDOU4GNEB5U · pith_short_8: JMEAEZDO

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/JMEAEZDOU4GNEB5UYPBSMYBK3R \
  | 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: 4b0802646ea70cd207b4c3c326602adc7aaa8c024c0c3ba27c1d2288af97f0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02166d4fc00870b2674e9bd2ccc548956494caf454a038cfdf7eb97eae4738d5",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-19T10:31:15Z",
    "title_canon_sha256": "e8f6a10a4e34acabb79ea6c7817a583924f4140fb73f3792a79d886970c863b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05868",
    "kind": "arxiv",
    "version": 1
  }
}