Pith Number

pith:FNXZPOU4

pith:2018:FNXZPOU4SU5JZBWLI4KXXPBH2I

not attested not anchored not stored refs pending

Perturbation bounds of Markov semigroups on abstract states spaces

Farrukh Mukhamedov, Nazife Erkur\c{s}un-\"Ozcan

arxiv:1808.00555 v2 · 2018-07-31 · math.FA · math.DS · 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{FNXZPOU4SU5JZBWLI4KXXPBH2I}

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	2026-05-18T00:08:35.390158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6f97ba9c953a9c86cb47157bbc27d20a7b9b562b3e2df6624fbc6428a82c63

Aliases

arxiv: 1808.00555 · arxiv_version: 1808.00555v2 · doi: 10.48550/arxiv.1808.00555 · pith_short_12: FNXZPOU4SU5J · pith_short_16: FNXZPOU4SU5JZBWL · pith_short_8: FNXZPOU4

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/FNXZPOU4SU5JZBWLI4KXXPBH2I \
  | 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: 2b6f97ba9c953a9c86cb47157bbc27d20a7b9b562b3e2df6624fbc6428a82c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff1745cebf51da650201eca6b00dd91bf8a34a6ec4003e4ffaa3e0b7d5dfd82e",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-31T17:43:50Z",
    "title_canon_sha256": "53b53770b53b2344de01bbdfe37ccde72218922aaa86a287d39c4d8818740a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00555",
    "kind": "arxiv",
    "version": 2
  }
}