Pith Number

pith:LZXJZUWQ

pith:2012:LZXJZUWQ5TLVKFWSLMZHAPQ6LQ

not attested not anchored not stored refs pending

Errata for Stochastic calculus for symmetric Markov processes

Kazuhiro Kuwae, Patrick J. Fitzsimmons, Tu-Sheng Zhang, Zhen-Qing Chen

arxiv:1205.5682 v1 · 2012-05-25 · 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{LZXJZUWQ5TLVKFWSLMZHAPQ6LQ}

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	2026-05-18T03:54:50.576596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6e9cd2d0ecd75516d25b32703e1e5c24b77b718cef8b562de65f44be7ad18e

Aliases

arxiv: 1205.5682 · arxiv_version: 1205.5682v1 · doi: 10.48550/arxiv.1205.5682 · pith_short_12: LZXJZUWQ5TLV · pith_short_16: LZXJZUWQ5TLVKFWS · pith_short_8: LZXJZUWQ

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/LZXJZUWQ5TLVKFWSLMZHAPQ6LQ \
  | 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: 5e6e9cd2d0ecd75516d25b32703e1e5c24b77b718cef8b562de65f44be7ad18e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6325108e372d5ecceda1c59308771d26bb5469e709c13d73c6da6780070e71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-25T12:42:49Z",
    "title_canon_sha256": "b809e9f36a80c05cbab31abf06c0d28f0d7b65bd31fa429ca24c62b0bb5414cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5682",
    "kind": "arxiv",
    "version": 1
  }
}