Pith Number

pith:QZLK7QEF

pith:2013:QZLK7QEF5HWHOSGGK3N6AQKGVN

not attested not anchored not stored refs pending

Stochastic processes with random contexts: a characterization, and adaptive estimators for the transition probabilities

Roberto Imbuzeiro Oliveira

arxiv:1309.2819 v2 · 2013-09-11 · math.PR · cs.IT · math.IT · 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{QZLK7QEF5HWHOSGGK3N6AQKGVN}

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	2026-05-18T00:55:34.631791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8656afc085e9ec7748c656dbe04146ab585420e553f16505610fb4d04ec2aee3

Aliases

arxiv: 1309.2819 · arxiv_version: 1309.2819v2 · doi: 10.48550/arxiv.1309.2819 · pith_short_12: QZLK7QEF5HWH · pith_short_16: QZLK7QEF5HWHOSGG · pith_short_8: QZLK7QEF

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/QZLK7QEF5HWHOSGGK3N6AQKGVN \
  | 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: 8656afc085e9ec7748c656dbe04146ab585420e553f16505610fb4d04ec2aee3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6268a86d19dfe1e465826a7b660c2027120346a7fd1caa917c6f92d4170373f9",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-11T13:17:55Z",
    "title_canon_sha256": "0a9d34b51d95a921ad386407c575123f84fb4019e83a1c2bedadd9ba11263b8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2819",
    "kind": "arxiv",
    "version": 2
  }
}