pith. sign in
Pith Number

pith:C4X5KMWD

pith:2011:C4X5KMWD4HX4YX2UMJYUWZGFM4
not attested not anchored not stored refs pending

The multivariate Piecing-Together approach revisited

Martin Hofmann, Michael Falk, Stefan Aulbach

arxiv:1108.0920 v4 · 2011-08-03 · math.PR · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{C4X5KMWD4HX4YX2UMJYUWZGFM4}

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 2026-05-18T03:41:02.557892Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

172fd532c3e1efcc5f5462714b64c56735825131f4592a1c76202acde7c66d65

Aliases

arxiv: 1108.0920 · arxiv_version: 1108.0920v4 · doi: 10.48550/arxiv.1108.0920 · pith_short_12: C4X5KMWD4HX4 · pith_short_16: C4X5KMWD4HX4YX2U · pith_short_8: C4X5KMWD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/C4X5KMWD4HX4YX2UMJYUWZGFM4 \
  | 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: 172fd532c3e1efcc5f5462714b64c56735825131f4592a1c76202acde7c66d65
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d5fabcbd8f7de7ef5c38a67d67f7e62b110ab1b452ba7bf17275c2140f40d883",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-03T19:56:08Z",
    "title_canon_sha256": "d670d164ace523996077233b862921fd62d15fb94137b864c5d0fb7007e41855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0920",
    "kind": "arxiv",
    "version": 4
  }
}