Pith Number

pith:FFC7ZSNW

pith:2013:FFC7ZSNW3HUVQEJYDMIPMNLMW4

not attested not anchored not stored refs pending

Computing a k-sparse n-length Discrete Fourier Transform using at most 4k samples and O(k log k) complexity

Kannan Ramchandran, Sameer Pawar

arxiv:1305.0870 v2 · 2013-05-04 · cs.DS · cs.IT · cs.MM · 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{FFC7ZSNW3HUVQEJYDMIPMNLMW4}

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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.

Receipt and verification

First computed	2026-05-18T02:28:48.293434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2945fcc9b6d9e95811381b10f6356cb718c963ef37124a535a50e525dfa618a2

Aliases

arxiv: 1305.0870 · arxiv_version: 1305.0870v2 · doi: 10.48550/arxiv.1305.0870 · pith_short_12: FFC7ZSNW3HUV · pith_short_16: FFC7ZSNW3HUVQEJY · pith_short_8: FFC7ZSNW

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/FFC7ZSNW3HUVQEJYDMIPMNLMW4 \
  | 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: 2945fcc9b6d9e95811381b10f6356cb718c963ef37124a535a50e525dfa618a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44e719de03ead5410b2a153b30718366e343d52f3b7aeadcf53f583c8c0839c8",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.MM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-05-04T02:54:59Z",
    "title_canon_sha256": "6b85265ae96ef89a195a2e36406871af1065aaddbe42c4cb01142820814f9635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0870",
    "kind": "arxiv",
    "version": 2
  }
}