Pith Number

pith:MXP2E6UQ

pith:2015:MXP2E6UQHDNIZGN6RFO4J3YYQJ

not attested not anchored not stored refs pending

Accuracy of discrete approximation for integral functionals of Markov processes

A. Kulik, I. Ganychenko, V. Knopova

arxiv:1507.08983 v1 · 2015-07-31 · 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{MXP2E6UQHDNIZGN6RFO4J3YYQJ}

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	2026-05-18T01:36:02.466080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65dfa27a9038da8c99be895dc4ef188260822b34d918870b2810ab3a0b5767c2

Aliases

arxiv: 1507.08983 · arxiv_version: 1507.08983v1 · doi: 10.48550/arxiv.1507.08983 · pith_short_12: MXP2E6UQHDNI · pith_short_16: MXP2E6UQHDNIZGN6 · pith_short_8: MXP2E6UQ

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/MXP2E6UQHDNIZGN6RFO4J3YYQJ \
  | 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: 65dfa27a9038da8c99be895dc4ef188260822b34d918870b2810ab3a0b5767c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075ed2d21279b484115a34d73f022a25b58a7b19cb15cd2718cd5540467ff7ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-31T19:27:24Z",
    "title_canon_sha256": "8d433c8fc0e21dd47720defba88386777b115bc83ebd8171651434c3da39a935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08983",
    "kind": "arxiv",
    "version": 1
  }
}