Pith Number

pith:AOE2VARI

pith:2014:AOE2VARIWNXC2JE42SKMRHZPHR

not attested not anchored not stored refs pending

Wavelet frames on Vilenkin groups and their approximation properties

Elena A. Lebedeva, Maria A. Skopina, Yuri A. Farkov

arxiv:1412.2699 v1 · 2014-12-08 · math.CA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOE2VARIWNXC2JE42SKMRHZPHR}

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	2026-05-18T02:31:48.924308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0389aa8228b36e2d249cd494c89f2f3c555544d216b63719493074e38c8c949c

Aliases

arxiv: 1412.2699 · arxiv_version: 1412.2699v1 · doi: 10.48550/arxiv.1412.2699 · pith_short_12: AOE2VARIWNXC · pith_short_16: AOE2VARIWNXC2JE4 · pith_short_8: AOE2VARI

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/AOE2VARIWNXC2JE42SKMRHZPHR \
  | 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: 0389aa8228b36e2d249cd494c89f2f3c555544d216b63719493074e38c8c949c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3949764140aa229ff4eed9a7b0d693645e84e652f1383623d20483e1543340fc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-08T18:55:43Z",
    "title_canon_sha256": "f742ff96cebeefc19b4462b95dbff855c8b7c1287dc8f9a0a0eda3bcca021a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2699",
    "kind": "arxiv",
    "version": 1
  }
}