Pith Number

pith:KAO3EGHK

pith:2018:KAO3EGHKICASL6PQNCTYGARCQT

not attested not anchored not stored refs pending

Lie-Trotter product formula for locally equicontinuous and tight Markov semigroup

Maria A. Ziemlanska, Sander C. Hille

arxiv:1807.07728 v1 · 2018-07-20 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAO3EGHKICASL6PQNCTYGARCQT}

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	2026-05-18T00:10:15.807331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501db218ea408125f9f068a783022284d47239d7a39788440944ff779b41c3bf

Aliases

arxiv: 1807.07728 · arxiv_version: 1807.07728v1 · doi: 10.48550/arxiv.1807.07728 · pith_short_12: KAO3EGHKICAS · pith_short_16: KAO3EGHKICASL6PQ · pith_short_8: KAO3EGHK

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/KAO3EGHKICASL6PQNCTYGARCQT \
  | 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: 501db218ea408125f9f068a783022284d47239d7a39788440944ff779b41c3bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7970f3ba65504b6aa5d99ea22f99f3279793ebaacb1775f0fc81c16a7432574e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-20T07:46:03Z",
    "title_canon_sha256": "b2e134cc57754477cff7e42e0a70af7f49cbec0694c80301190118cafc35d28c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07728",
    "kind": "arxiv",
    "version": 1
  }
}