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Pith Number

pith:33WB6VZE

pith:2016:33WB6VZEONNNZH757PBZ33QY6A
not attested not anchored not stored refs pending

Learning Local Dependence In Ordered Data

Guo Yu, Jacob Bien

arxiv:1604.07451 v3 · 2016-04-25 · math.ST · stat.CO · stat.ME · stat.ML · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{33WB6VZEONNNZH757PBZ33QY6A}

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 2026-05-18T00:28:32.588544Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

deec1f5724735adc9ffdfbc39dee18f020e3d51082e01603955a873d39163e49

Aliases

arxiv: 1604.07451 · arxiv_version: 1604.07451v3 · doi: 10.48550/arxiv.1604.07451 · pith_short_12: 33WB6VZEONNN · pith_short_16: 33WB6VZEONNNZH75 · pith_short_8: 33WB6VZE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/33WB6VZEONNNZH757PBZ33QY6A \
  | 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: deec1f5724735adc9ffdfbc39dee18f020e3d51082e01603955a873d39163e49
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b918c59a94649d432630411a99dbdefd449df36390658cedced5f8c9e437e3f1",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-04-25T21:20:51Z",
    "title_canon_sha256": "3a1815269c90f0deaa7864e0b016162d9e5491e9748f321166798a2ffc00ea25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07451",
    "kind": "arxiv",
    "version": 3
  }
}