Pith Number

pith:METFCUF3

pith:2016:METFCUF3KFQEUNHGVK2FXMEGKS

not attested not anchored not stored refs pending

A necessary and sufficient condition for minimum phase and implications for phase retrieval

Antonio Mecozzi

arxiv:1606.04861 v5 · 2016-06-15 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{METFCUF3KFQEUNHGVK2FXMEGKS}

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	2026-05-18T01:01:30.997945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61265150bb51604a34e6aab45bb08654a36cea9a81282d1fc06723b1d03f9622

Aliases

arxiv: 1606.04861 · arxiv_version: 1606.04861v5 · doi: 10.48550/arxiv.1606.04861 · pith_short_12: METFCUF3KFQE · pith_short_16: METFCUF3KFQEUNHG · pith_short_8: METFCUF3

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/METFCUF3KFQEUNHGVK2FXMEGKS \
  | 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: 61265150bb51604a34e6aab45bb08654a36cea9a81282d1fc06723b1d03f9622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6e69f4b8cac820dc5f0f6bacc650d6e9fc6f4cfd1cca6f158383df32ded8ba",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-15T17:02:32Z",
    "title_canon_sha256": "f7ab287c302c69e1546fffb75e8663c242926e80761c3b74199f01bb7c0f7d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04861",
    "kind": "arxiv",
    "version": 5
  }
}