Pith Number

pith:GCPOFKYL

pith:2025:GCPOFKYLSGPUJVZ2CNZKVIRVPY

not attested not anchored not stored refs pending

Optimality of Gradient-MUSIC for spectral estimation

Albert Fannjiang, Weilin Li, Wenjing Liao

arxiv:2504.06842 v4 · 2025-04-09 · 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{GCPOFKYLSGPUJVZ2CNZKVIRVPY}

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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.

Cited by

2 papers in Pith

Low-Complexity Gridless Single-Snapshot DoA Estimation via Truncated Hankel Newton-MUSIC

A sharp analysis of Root-MUSIC: locations of correct and extraneous roots

Receipt and verification

First computed	2026-07-07T03:18:46.560034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309ee2ab0b919f44d73a1372aaa2357e335a4aa193f20a6c8120b3c73a33e9f4

Aliases

arxiv: 2504.06842 · arxiv_version: 2504.06842v4 · doi: 10.48550/arxiv.2504.06842 · pith_short_12: GCPOFKYLSGPU · pith_short_16: GCPOFKYLSGPUJVZ2 · pith_short_8: GCPOFKYL

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/GCPOFKYLSGPUJVZ2CNZKVIRVPY \
  | 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: 309ee2ab0b919f44d73a1372aaa2357e335a4aa193f20a6c8120b3c73a33e9f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd0f2b39c4b0c8e28c6070861ad182d5467a34d8d0b83100cd2b5f04a5a1180",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-04-09T13:00:49Z",
    "title_canon_sha256": "fa2a0b83ed96a8d2609f24ba32def6183b023c975255f67bb7f7f583d2d76ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.06842",
    "kind": "arxiv",
    "version": 4
  }
}