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Pith Number

pith:Y2KWRYWJ

pith:2012:Y2KWRYWJUKF5OO57T2IW4M7LTK
not attested not anchored not stored refs pending

Approximation of a random process with variable smoothness

Enkelejd Hashorva, Mikhail Lifshits, Oleg Seleznjev

arxiv:1206.1251 v1 · 2012-06-06 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y2KWRYWJUKF5OO57T2IW4M7LTK}

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 2026-05-18T01:26:39.905724Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c69568e2c9a28bd73bbf9e916e33eb9aadffd3935fdec5f0755cc8e2e6456c9e

Aliases

arxiv: 1206.1251 · arxiv_version: 1206.1251v1 · doi: 10.48550/arxiv.1206.1251 · pith_short_12: Y2KWRYWJUKF5 · pith_short_16: Y2KWRYWJUKF5OO57 · pith_short_8: Y2KWRYWJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y2KWRYWJUKF5OO57T2IW4M7LTK \
  | 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: c69568e2c9a28bd73bbf9e916e33eb9aadffd3935fdec5f0755cc8e2e6456c9e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9289168d5f205f4b29281bb18ed99c5ae38d20e7a5f59c34cd56c708d70aabd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-06T14:55:10Z",
    "title_canon_sha256": "bf084c256965bff0b623bf5c88ad59850b38d0d579f2b74a62825c0eead0ec10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1251",
    "kind": "arxiv",
    "version": 1
  }
}