Pith Number

pith:NMWVOE5G

pith:2011:NMWVOE5GR5YTUVLDTKJPSKMWHI

not attested not anchored not stored refs pending

The quantile spectral density and comparison based tests for nonlinear time series

Junbum Lee, Suhasini Subba Rao

arxiv:1112.2759 v2 · 2011-12-13 · 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{NMWVOE5GR5YTUVLDTKJPSKMWHI}

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	2026-05-18T04:00:26.430155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2d5713a68f713a55639a92f929963a23550400137b7df6d995a4538b6f1d7c

Aliases

arxiv: 1112.2759 · arxiv_version: 1112.2759v2 · doi: 10.48550/arxiv.1112.2759 · pith_short_12: NMWVOE5GR5YT · pith_short_16: NMWVOE5GR5YTUVLD · pith_short_8: NMWVOE5G

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/NMWVOE5GR5YTUVLDTKJPSKMWHI \
  | 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: 6b2d5713a68f713a55639a92f929963a23550400137b7df6d995a4538b6f1d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2c10904228904a4538ff88bb2209a655e27799e73e01dafdaa5c87b1ffe731",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-12-13T00:28:37Z",
    "title_canon_sha256": "e0947fcb2927ee6172419359690eef640e271c81d610da2818799f93918a0cda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2759",
    "kind": "arxiv",
    "version": 2
  }
}