Pith Number

pith:VA6ZUB6J

pith:2011:VA6ZUB6J5QHMTQJ6FNTCXTEKRH

not attested not anchored not stored refs pending

Optimally sparse approximations of 3D functions by compactly supported shearlet frames

Gitta Kutyniok, Jakob Lemvig, Wang-Q Lim

arxiv:1109.5993 v2 · 2011-09-27 · math.FA · cs.IT · cs.NA · 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{VA6ZUB6J5QHMTQJ6FNTCXTEKRH}

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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	2026-05-18T03:54:26.064823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83d9a07c9ec0ec9c13e2b662bcc8a89d99a7810504a80385aef7f178e823219

Aliases

arxiv: 1109.5993 · arxiv_version: 1109.5993v2 · doi: 10.48550/arxiv.1109.5993 · pith_short_12: VA6ZUB6J5QHM · pith_short_16: VA6ZUB6J5QHMTQJ6 · pith_short_8: VA6ZUB6J

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/VA6ZUB6J5QHMTQJ6FNTCXTEKRH \
  | 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: a83d9a07c9ec0ec9c13e2b662bcc8a89d99a7810504a80385aef7f178e823219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "189838d500e3880c2a1f10a25100f50f5dd09a5ec86091e4d05375840831bd95",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-27T19:20:02Z",
    "title_canon_sha256": "f1ef429aa510dcf8324d51dd5fdfeee85f30405ea91dcb4ce423e07f57c5c95b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5993",
    "kind": "arxiv",
    "version": 2
  }
}