Pith Number

pith:QY4WLZ5J

pith:2011:QY4WLZ5J7XH6M3DW4OSHNBV7IM

not attested not anchored not stored refs pending

An approximation of Daubechies wavelet matrices by perfect reconstruction filter banks with rational coefficients

Aleksander Gamkrelidze, Edem Lagvilava, Lasha Ephremidze

arxiv:1106.5439 v1 · 2011-06-27 · 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{QY4WLZ5J7XH6M3DW4OSHNBV7IM}

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	2026-05-18T04:19:13.626670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863965e7a9fdcfe66c76e3a47686bf433b0763805d02707c2ef19e6a8e6c05df

Aliases

arxiv: 1106.5439 · arxiv_version: 1106.5439v1 · doi: 10.48550/arxiv.1106.5439 · pith_short_12: QY4WLZ5J7XH6 · pith_short_16: QY4WLZ5J7XH6M3DW · pith_short_8: QY4WLZ5J

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/QY4WLZ5J7XH6M3DW4OSHNBV7IM \
  | 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: 863965e7a9fdcfe66c76e3a47686bf433b0763805d02707c2ef19e6a8e6c05df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3a4429c4c53e7704edaac17f2b669fce75acc16f15afc5514e3acde3da4ff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-27T16:46:43Z",
    "title_canon_sha256": "04fc2dfab158b73998d3ebaa30312525ec9d3f9aa99d0deaacf8e93e321581c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5439",
    "kind": "arxiv",
    "version": 1
  }
}