Pith Number

pith:BEIUPYHS

pith:2011:BEIUPYHSXEAGIOKMSBX3FON6RN

not attested not anchored not stored refs pending

On Time Reversal of Piecewise Deterministic Markov Processes

Andreas L\"opker, Zbigniew Palmowski

arxiv:1110.3813 v1 · 2011-10-17 · 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{BEIUPYHSXEAGIOKMSBX3FON6RN}

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	2026-05-18T04:10:47.861216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091147e0f2b90064394c906fb2b9be8b4f5b9681f1bcdf86dd4843aedbbe778c

Aliases

arxiv: 1110.3813 · arxiv_version: 1110.3813v1 · doi: 10.48550/arxiv.1110.3813 · pith_short_12: BEIUPYHSXEAG · pith_short_16: BEIUPYHSXEAGIOKM · pith_short_8: BEIUPYHS

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/BEIUPYHSXEAGIOKMSBX3FON6RN \
  | 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: 091147e0f2b90064394c906fb2b9be8b4f5b9681f1bcdf86dd4843aedbbe778c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1130e50b90da177812509a7447476e98b694ecb97bc3945403043101b3a7b659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-17T20:37:18Z",
    "title_canon_sha256": "135d9c407ac2a4e077c5bca87acf576aa5c780cb5db422fdbc9f481cae26c070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3813",
    "kind": "arxiv",
    "version": 1
  }
}