pith. sign in
Pith Number

pith:AXNJ2Y4I

pith:2016:AXNJ2Y4IY2JBI4TEYGFY3QM45Q
not attested not anchored not stored refs pending

A Frequency Domain Test for Propriety of Complex-Valued Vector Time Series

Andrew T. Walden, Swati Chandna

arxiv:1605.05910 v1 · 2016-05-19 · stat.ME · stat.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AXNJ2Y4IY2JBI4TEYGFY3QM45Q}

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 2026-05-18T00:47:14.554630Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

05da9d6388c692147264c18b8dc19cec2e3c0efd50987db5bfe08275876cd70c

Aliases

arxiv: 1605.05910 · arxiv_version: 1605.05910v1 · doi: 10.48550/arxiv.1605.05910 · pith_short_12: AXNJ2Y4IY2JB · pith_short_16: AXNJ2Y4IY2JBI4TE · pith_short_8: AXNJ2Y4I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AXNJ2Y4IY2JBI4TEYGFY3QM45Q \
  | 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: 05da9d6388c692147264c18b8dc19cec2e3c0efd50987db5bfe08275876cd70c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "566728414e0db3b5a2e22eef862a6698e64920c3c5378a703809a713ba6a93f3",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-05-19T12:12:33Z",
    "title_canon_sha256": "71b4a71454dcf4c2df9d45d0c891caa907bc9cdf32a4d34de839a4c899bffba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05910",
    "kind": "arxiv",
    "version": 1
  }
}