Pith Number

pith:WRAH4SU6

pith:2016:WRAH4SU6TIORRSL5OZZ4W6BAWZ

not attested not anchored not stored refs pending

Convergence of depths and depth-trimmed regions

Rainer Dyckerhoff

arxiv:1611.08721 v2 · 2016-11-26 · 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{WRAH4SU6TIORRSL5OZZ4W6BAWZ}

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	2026-05-18T00:46:31.552873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4407e4a9e9a1d18c97d7673cb7820b64772419b2b478d3c70bca969096f0d7c

Aliases

arxiv: 1611.08721 · arxiv_version: 1611.08721v2 · doi: 10.48550/arxiv.1611.08721 · pith_short_12: WRAH4SU6TIOR · pith_short_16: WRAH4SU6TIORRSL5 · pith_short_8: WRAH4SU6

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/WRAH4SU6TIORRSL5OZZ4W6BAWZ \
  | 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: b4407e4a9e9a1d18c97d7673cb7820b64772419b2b478d3c70bca969096f0d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d55588a436c30624f2322e2409e2ace1f60c7149b2d16ab1cda03564a85eda55",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-26T16:45:49Z",
    "title_canon_sha256": "c9f053f765fd3378dd3a56bfffeae5b0bdb2811b9a4f6515b99adb5c583730cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08721",
    "kind": "arxiv",
    "version": 2
  }
}