Pith Number

pith:XPYEN6WZ

pith:2016:XPYEN6WZJC2NSYKT5CIEL7XYVD

not attested not anchored not stored refs pending

Demixing Sines and Spikes: Robust Spectral Super-resolution in the Presence of Outliers

Carlos Fernandez-Granda, Gongguo Tang, Le Zheng, Xiaodong Wang

arxiv:1609.02247 v3 · 2016-09-08 · math.OC · 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{XPYEN6WZJC2NSYKT5CIEL7XYVD}

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	2026-05-18T00:48:09.629917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf046fad948b4d96153e89045fef8a8f59f42b839c8afe7ebc1dc1b6a063a37

Aliases

arxiv: 1609.02247 · arxiv_version: 1609.02247v3 · doi: 10.48550/arxiv.1609.02247 · pith_short_12: XPYEN6WZJC2N · pith_short_16: XPYEN6WZJC2NSYKT · pith_short_8: XPYEN6WZ

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/XPYEN6WZJC2NSYKT5CIEL7XYVD \
  | 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: bbf046fad948b4d96153e89045fef8a8f59f42b839c8afe7ebc1dc1b6a063a37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a841ff4ed8a39c1258a779b425dd4ba661850c170465d0d287e4524a02736e23",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-08T02:42:04Z",
    "title_canon_sha256": "e43c65594280373b5a81b2b990e33be7c993f8c4e08d9f374bbe5493c1802e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02247",
    "kind": "arxiv",
    "version": 3
  }
}