Pith Number

pith:V6DIOKS5

pith:2012:V6DIOKS5RSHLD65ZY33M4TDFW5

not attested not anchored not stored refs pending

Comparing spectral densities of stationary time series with unequal sample sizes

Philip Preu{\ss}, Thimo Hildebrandt

arxiv:1207.5659 v1 · 2012-07-24 · math.ST · stat.AP · 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{V6DIOKS5RSHLD65ZY33M4TDFW5}

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	2026-05-18T03:50:11.693502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af86872a5d8c8eb1fbb9c6f6ce4c65b776b1c52026319c346f0daf1b3775ae82

Aliases

arxiv: 1207.5659 · arxiv_version: 1207.5659v1 · doi: 10.48550/arxiv.1207.5659 · pith_short_12: V6DIOKS5RSHL · pith_short_16: V6DIOKS5RSHLD65Z · pith_short_8: V6DIOKS5

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/V6DIOKS5RSHLD65ZY33M4TDFW5 \
  | 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: af86872a5d8c8eb1fbb9c6f6ce4c65b776b1c52026319c346f0daf1b3775ae82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "276808fc069421ed5cca250670f77cecb399cdeba0082bc864c58b2c9e02567e",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-24T11:09:14Z",
    "title_canon_sha256": "3e8767fe8410151692bb447c2d47a202001b0d18c18f315f78431fbe896b42c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5659",
    "kind": "arxiv",
    "version": 1
  }
}