Pith Number

pith:J6CLUUDF

pith:2015:J6CLUUDF4YLYG2EJG5YWXYKVDG

not attested not anchored not stored refs pending

Weak approximation rates for integral functionals of Markov processes

Alexei Kulik, Iurii Ganychenko

arxiv:1510.01854 v1 · 2015-10-07 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6CLUUDF4YLYG2EJG5YWXYKVDG}

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	2026-05-18T01:30:50.211671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f84ba5065e61783688937716be1551982c0b66fedeb85db93e16d1c9804d23b

Aliases

arxiv: 1510.01854 · arxiv_version: 1510.01854v1 · doi: 10.48550/arxiv.1510.01854 · pith_short_12: J6CLUUDF4YLY · pith_short_16: J6CLUUDF4YLYG2EJ · pith_short_8: J6CLUUDF

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/J6CLUUDF4YLYG2EJG5YWXYKVDG \
  | 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: 4f84ba5065e61783688937716be1551982c0b66fedeb85db93e16d1c9804d23b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "745f032be84104819d9da7656ab40d1a422c9b63d15cad64541a9f83abd32878",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-07T07:54:51Z",
    "title_canon_sha256": "e4d65152b75a25e18211e2e96343353d25482ac76ffea9aabcd802b5d030f131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01854",
    "kind": "arxiv",
    "version": 1
  }
}