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Pith Number

pith:JMEGRUY6

pith:2009:JMEGRUY6JHPSGAPEL65YBWKL3L
not attested not anchored not stored refs pending

Sampling Theorem and Discrete Fourier Transform on the Hyperboloid

Juan Carlos S\'anchez-Monreal, Julio Guerrero, Manuel Calixto

arxiv:0904.4716 v2 · 2009-04-29 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JMEGRUY6JHPSGAPEL65YBWKL3L}

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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 2026-05-18T04:13:45.989125Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b0868d31e49df2301e45fbb80d94bdaee45f6e9e904883ce522766f1a7a3ac3

Aliases

arxiv: 0904.4716 · arxiv_version: 0904.4716v2 · doi: 10.48550/arxiv.0904.4716 · pith_short_12: JMEGRUY6JHPS · pith_short_16: JMEGRUY6JHPSGAPE · pith_short_8: JMEGRUY6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JMEGRUY6JHPSGAPEL65YBWKL3L \
  | 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: 4b0868d31e49df2301e45fbb80d94bdaee45f6e9e904883ce522766f1a7a3ac3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7054114113592e25dc5e60a399a294e32c82670380ebf1358b198e6e76056803",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-04-29T22:54:30Z",
    "title_canon_sha256": "22dc43f816efeaa5040df6132668872cd0a27c9feadb1dd1d2fe14a8ae147411"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4716",
    "kind": "arxiv",
    "version": 2
  }
}