pith. sign in
Pith Number

pith:4PH5W2AQ

pith:2016:4PH5W2AQECGOM6FIWT77BGDGYW
not attested not anchored not stored refs pending

ABCDepth: efficient algorithm for Tukey depth

Milan Merkle, Milica Bogicevic

arxiv:1603.05609 v2 · 2016-03-17 · cs.CG · cs.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4PH5W2AQECGOM6FIWT77BGDGYW}

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 2026-05-18T00:58:55.327347Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e3cfdb6810208ce678a8b4fff09866c5a0139d7d3325b6d4ee12b648d070004d

Aliases

arxiv: 1603.05609 · arxiv_version: 1603.05609v2 · doi: 10.48550/arxiv.1603.05609 · pith_short_12: 4PH5W2AQECGO · pith_short_16: 4PH5W2AQECGOM6FI · pith_short_8: 4PH5W2AQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4PH5W2AQECGOM6FIWT77BGDGYW \
  | 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: e3cfdb6810208ce678a8b4fff09866c5a0139d7d3325b6d4ee12b648d070004d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3dc32e9f8641bbc1e4d78c97a88d8f7cc56ce7c209b769c8fd829fe46fa4839d",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-03-17T18:47:30Z",
    "title_canon_sha256": "0fccbc1987e21d9c06f9486c8c78ddfec7accf474d809ff75acc379cd4565c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05609",
    "kind": "arxiv",
    "version": 2
  }
}