Pith Number

pith:UDZUALH5

pith:2013:UDZUALH5A34AAQGM2U3VVJXH5Y

not attested not anchored not stored refs pending

Zak transforms and Gabor frames of totally positive functions and exponential B-splines

Joachim St\"ockler, Tobias Kloos

arxiv:1311.7359 v1 · 2013-11-28 · cs.IT · math.IT · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDZUALH5A34AAQGM2U3VVJXH5Y}

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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	2026-05-18T02:38:29.791566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0f3402cfd06f80040ccd5375aa6e7ee06c6b664ab4742c5a5cefe19c2664d5d

Aliases

arxiv: 1311.7359 · arxiv_version: 1311.7359v1 · doi: 10.48550/arxiv.1311.7359 · pith_short_12: UDZUALH5A34A · pith_short_16: UDZUALH5A34AAQGM · pith_short_8: UDZUALH5

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/UDZUALH5A34AAQGM2U3VVJXH5Y \
  | 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: a0f3402cfd06f80040ccd5375aa6e7ee06c6b664ab4742c5a5cefe19c2664d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0c12a66f1199d87f5eabef0d319a2e01c0ba3f9b8c59404db1b3adae0f6eab0",
    "cross_cats_sorted": [
      "math.IT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-28T16:29:18Z",
    "title_canon_sha256": "d0d1672b4db6ed5ca02546fa19cb6a7ef9ca6533ef1a0ff8f0048a1734b9d787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7359",
    "kind": "arxiv",
    "version": 1
  }
}