Pith Number

pith:PKLOLRWQ

pith:2015:PKLOLRWQTWHXCQDWNMZGQ5U27N

not attested not anchored not stored refs pending

Series Representation of Time-Stable Stochastic Processes

Christoph Kopp, Ilya Molchanov

arxiv:1504.02969 v1 · 2015-04-12 · 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{PKLOLRWQTWHXCQDWNMZGQ5U27N}

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	2026-05-18T02:18:59.525592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a96e5c6d09d8f7140766b3268769afb7be4da005cc6245c3bb3d5eafb3c346c

Aliases

arxiv: 1504.02969 · arxiv_version: 1504.02969v1 · doi: 10.48550/arxiv.1504.02969 · pith_short_12: PKLOLRWQTWHX · pith_short_16: PKLOLRWQTWHXCQDW · pith_short_8: PKLOLRWQ

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/PKLOLRWQTWHXCQDWNMZGQ5U27N \
  | 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: 7a96e5c6d09d8f7140766b3268769afb7be4da005cc6245c3bb3d5eafb3c346c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "059b1f82f0aa1b01612230caa280ad22afec3897bc14b8f16d2e333eec470d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-12T12:55:27Z",
    "title_canon_sha256": "b6cae3f6e2b0ea560a66c9ac65f6b7756488ba930c6a487001b846b55fb71ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02969",
    "kind": "arxiv",
    "version": 1
  }
}