Pith Number

pith:BJHEEFHM

pith:2024:BJHEEFHMIMD4RZB653DC2B5M4W

not attested not anchored not stored refs pending

From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond

Leheng Cai, Qirui Hu

arxiv:2412.20858 v1 · 2024-12-30 · stat.ME · 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{BJHEEFHMIMD4RZB653DC2B5M4W}

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	2026-07-05T09:55:23.780862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a4e4214ec4307c8e43eeec62d07ace5a35255691cbf70f89e5db4455e18459b

Aliases

arxiv: 2412.20858 · arxiv_version: 2412.20858v1 · doi: 10.48550/arxiv.2412.20858 · pith_short_12: BJHEEFHMIMD4 · pith_short_16: BJHEEFHMIMD4RZB6 · pith_short_8: BJHEEFHM

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/BJHEEFHMIMD4RZB653DC2B5M4W \
  | 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: 0a4e4214ec4307c8e43eeec62d07ace5a35255691cbf70f89e5db4455e18459b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6acafbdcda86a4b213ea8096e47d77ab53060bbdb932ff187d784f49fc9551e4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-12-30T10:52:29Z",
    "title_canon_sha256": "14195689ef7a90527f5744902628aaf3ab80fa895995ac50a0f59cbc6c7ee495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20858",
    "kind": "arxiv",
    "version": 1
  }
}