Pith Number

pith:I2ADIMLV

pith:2019:I2ADIMLVEWHEQN2Z6ZUUM4QZZR

not attested not anchored not stored refs pending

On an irreducibility type condition for the ergodicity of nonconservative semigroups

Bertrand Cloez, Pierre Gabriel

arxiv:1909.07363 v2 · 2019-09-16 · math.PR · math.AP · 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{I2ADIMLVEWHEQN2Z6ZUUM4QZZR}

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	2026-07-05T01:49:35.324111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4680343175258e483759f669467219cc558c142ae90f293b409564b7bf5d48e5

Aliases

arxiv: 1909.07363 · arxiv_version: 1909.07363v2 · doi: 10.48550/arxiv.1909.07363 · pith_short_12: I2ADIMLVEWHE · pith_short_16: I2ADIMLVEWHEQN2Z · pith_short_8: I2ADIMLV

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/I2ADIMLVEWHEQN2Z6ZUUM4QZZR \
  | 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: 4680343175258e483759f669467219cc558c142ae90f293b409564b7bf5d48e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f57bcfd40f12a5644241ad91913a6b501ac6a66654f961512a77ffb3c9e8c9",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-09-16T17:55:12Z",
    "title_canon_sha256": "da57c84126aed0a5f1a0b946dcdda405abeb26f941fffaaedf1ab8f75b4e5756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.07363",
    "kind": "arxiv",
    "version": 2
  }
}