Pith Number

pith:GMW2RXJY

pith:2016:GMW2RXJYK5FJI4R4E4STETPBJL

not attested not anchored not stored refs pending

Functional data analysis for density functions by transformation to a Hilbert space

Alexander Petersen, Hans-Georg M\"uller

arxiv:1601.02869 v1 · 2016-01-12 · 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{GMW2RXJYK5FJI4R4E4STETPBJL}

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	2026-05-18T01:22:59.436726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332da8dd38574a94723c2725324de14acae861696beffbe557a0790ac3d0b5b9

Aliases

arxiv: 1601.02869 · arxiv_version: 1601.02869v1 · doi: 10.48550/arxiv.1601.02869 · pith_short_12: GMW2RXJYK5FJ · pith_short_16: GMW2RXJYK5FJI4R4 · pith_short_8: GMW2RXJY

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/GMW2RXJYK5FJI4R4E4STETPBJL \
  | 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: 332da8dd38574a94723c2725324de14acae861696beffbe557a0790ac3d0b5b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc71e20ed6bc16b68b280ecd0a403d82e70bab6bf9455443f959b17311c582c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-01-12T14:13:52Z",
    "title_canon_sha256": "9bf0c3fddd0c9af838966654a5c6d9afebafc21c4e75af34cba6fd79919072a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02869",
    "kind": "arxiv",
    "version": 1
  }
}