Pith Number

pith:XWWZETDM

pith:2011:XWWZETDMVOF2RTNSKJWMPXLP7G

not attested not anchored not stored refs pending

Pointwise Stabilization of Discrete-time Stationary Matrix-valued Markovian Chains

Mingqing Xiao, Xiongping Dai, Yu Huang

arxiv:1107.0132 v3 · 2011-07-01 · math.PR · cs.SY · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XWWZETDMVOF2RTNSKJWMPXLP7G}

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	2026-05-18T03:14:39.463599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdad924c6cab8ba8cdb2526cc7dd6ff9869b3b88d96427ac5fc11365439f454d

Aliases

arxiv: 1107.0132 · arxiv_version: 1107.0132v3 · doi: 10.48550/arxiv.1107.0132 · pith_short_12: XWWZETDMVOF2 · pith_short_16: XWWZETDMVOF2RTNS · pith_short_8: XWWZETDM

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/XWWZETDMVOF2RTNSKJWMPXLP7G \
  | 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: bdad924c6cab8ba8cdb2526cc7dd6ff9869b3b88d96427ac5fc11365439f454d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0c3f53fa2ca95ce3714f8eb1c3b96a14a41a82019cd3d237585b5e286d18ed",
    "cross_cats_sorted": [
      "cs.SY",
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-01T07:53:56Z",
    "title_canon_sha256": "0b8074d0aaa08f5f2704e9ae0be883d6474ca6a69ada03c5fd16ff85b3463b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0132",
    "kind": "arxiv",
    "version": 3
  }
}