Pith Number

pith:U5W6VKQR

pith:2012:U5W6VKQRD55EC22OQN3IXYSRXT

not attested not anchored not stored refs pending

High order chaotic limits of wavelet scalograms under long--range dependence

Ciprian A. Tudor (LPP), Fran\c{c}ois Roueff (LTCI), Marianne Clausel (LJK), Murad S. Taqqu

arxiv:1201.4831 v2 · 2012-01-23 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5W6VKQRD55EC22OQN3IXYSRXT}

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	2026-05-18T03:06:05.072745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76deaaa111f7a416b4e83768be251bce14d3e4323fe16cea13fe708dc92b581

Aliases

arxiv: 1201.4831 · arxiv_version: 1201.4831v2 · doi: 10.48550/arxiv.1201.4831 · pith_short_12: U5W6VKQRD55E · pith_short_16: U5W6VKQRD55EC22O · pith_short_8: U5W6VKQR

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/U5W6VKQRD55EC22OQN3IXYSRXT \
  | 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: a76deaaa111f7a416b4e83768be251bce14d3e4323fe16cea13fe708dc92b581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c87622308357ae0e232ccf7be2750e90a274ade1dc702efe1bd1de3639a7fc2c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-23T19:37:52Z",
    "title_canon_sha256": "10136e86d0333bc1575f4cd0158921278d40be773f8127243d6266e28847c7d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4831",
    "kind": "arxiv",
    "version": 2
  }
}