Pith Number

pith:5RLIHAZY

pith:2011:5RLIHAZYL3SZKXOQ4DH7ECNXNU

not attested not anchored not stored refs pending

Asymptotic stability for a class of Markov semigroups

Bebe Prunaru

arxiv:1112.5718 v1 · 2011-12-24 · math.PR · math.DS · 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{5RLIHAZYL3SZKXOQ4DH7ECNXNU}

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	2026-05-18T04:05:37.735900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec568383385ee5955dd0e0cff209b76d00c86c946fb60b7a0335ed91561c0182

Aliases

arxiv: 1112.5718 · arxiv_version: 1112.5718v1 · doi: 10.48550/arxiv.1112.5718 · pith_short_12: 5RLIHAZYL3SZ · pith_short_16: 5RLIHAZYL3SZKXOQ · pith_short_8: 5RLIHAZY

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/5RLIHAZYL3SZKXOQ4DH7ECNXNU \
  | 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: ec568383385ee5955dd0e0cff209b76d00c86c946fb60b7a0335ed91561c0182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa7713a5f957b5645787b9ee7bf0875dc7e899312567bd1927a44f057c657048",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-24T12:24:02Z",
    "title_canon_sha256": "0841e2e6bcc0ac9c262a8067147db483c3a5285698def244ebd599690ae726c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5718",
    "kind": "arxiv",
    "version": 1
  }
}