Pith Number

pith:HWD7KRIZ

pith:2012:HWD7KRIZK5PZX52SDMQVUC3QNK

not attested not anchored not stored refs pending

On the vaguelet and Riesz properties of L^2-unbounded transformations of orthogonal wavelet bases

Gustavo Didier, St\'ephane Jaffard, Vladas Pipiras

arxiv:1210.2777 v2 · 2012-10-09 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWD7KRIZK5PZX52SDMQVUC3QNK}

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	2026-05-18T03:30:56.105087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d87f54519575f9bf7521b215a0b706aabea0017057355712287b7abec61233c

Aliases

arxiv: 1210.2777 · arxiv_version: 1210.2777v2 · doi: 10.48550/arxiv.1210.2777 · pith_short_12: HWD7KRIZK5PZ · pith_short_16: HWD7KRIZK5PZX52S · pith_short_8: HWD7KRIZ

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/HWD7KRIZK5PZX52SDMQVUC3QNK \
  | 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: 3d87f54519575f9bf7521b215a0b706aabea0017057355712287b7abec61233c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520979ec1d30014f17eee92a17d40b0281a07a1e11d6abae4d71f4e72542e3e5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-09T23:12:06Z",
    "title_canon_sha256": "4abb17e914c4cb783f92ae273caeae70d88ef71ceb15fed6443cf202e115ed36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2777",
    "kind": "arxiv",
    "version": 2
  }
}