Pith Number

pith:66X3LQ7R

pith:2014:66X3LQ7RHMY5Z3SRYM66JITINE

not attested not anchored not stored refs pending

Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents

Iulian C\^impean, Lucian Beznea, Michael R\"ockner

arxiv:1409.6492 v2 · 2014-09-23 · 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{66X3LQ7RHMY5Z3SRYM66JITINE}

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	2026-05-18T01:36:43.642039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7afb5c3f13b31dcee51c33de4a26869139d174343c4271a7eb9cb79c687887f

Aliases

arxiv: 1409.6492 · arxiv_version: 1409.6492v2 · doi: 10.48550/arxiv.1409.6492 · pith_short_12: 66X3LQ7RHMY5 · pith_short_16: 66X3LQ7RHMY5Z3SR · pith_short_8: 66X3LQ7R

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/66X3LQ7RHMY5Z3SRYM66JITINE \
  | 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: f7afb5c3f13b31dcee51c33de4a26869139d174343c4271a7eb9cb79c687887f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa6fd0223fb6c47f3cf32f6c62fc22fbee8f9053384004c6c29d6d7f6d8ac53f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-23T11:25:00Z",
    "title_canon_sha256": "3eb0318597aa40bc37809950c3975463a3072ca5078c3d700842cfaa200e63b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6492",
    "kind": "arxiv",
    "version": 2
  }
}