Pith Number

pith:OB4FDUME

pith:2020:OB4FDUMEJO7GH53VS5ZOYMHSYS

not attested not anchored not stored refs pending

Markov process representation of semigroups whose generators include negative rates

Florian V\"ollering

arxiv:2002.01805 v2 · 2020-02-05 · 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{OB4FDUMEJO7GH53VS5ZOYMHSYS}

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.

Cited by

1 paper in Pith

Kardar-Parisi-Zhang dynamics in an open integrable system: beyond the spontaneous-symmetry-breaking ansatz

Receipt and verification

First computed	2026-07-05T01:34:21.231013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707851d1844bbe63f7759772ec30f2c4a2a78d85235d4dd32c2fd064639f084e

Aliases

arxiv: 2002.01805 · arxiv_version: 2002.01805v2 · doi: 10.48550/arxiv.2002.01805 · pith_short_12: OB4FDUMEJO7G · pith_short_16: OB4FDUMEJO7GH53V · pith_short_8: OB4FDUME

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/OB4FDUMEJO7GH53VS5ZOYMHSYS \
  | 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: 707851d1844bbe63f7759772ec30f2c4a2a78d85235d4dd32c2fd064639f084e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eaa6b60249e92bc7966b93c10e5a17b0d8d029dcb5e9fa16db5295b51e72b8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-02-05T14:29:51Z",
    "title_canon_sha256": "b22c26be1324e9b5b580fc4282fed75ec6080f3b0c5a90f62c8b0ac6bde9b4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.01805",
    "kind": "arxiv",
    "version": 2
  }
}