Pith Number

pith:OOD4V55D

pith:2014:OOD4V55DHKFFOH5UORVGO25WS7

not attested not anchored not stored refs pending

Exponential stability of nonhomogeneous matrix-valued Markovian chains

Tingwen Huang, Xiongping Dai, Yu Huang

arxiv:1401.6014 v1 · 2014-01-23 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOD4V55DHKFFOH5UORVGO25WS7}

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	2026-05-18T03:01:23.120854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7387caf7a33a8a571fb4746a676bb697c2933cb9e6d61237ff2625125ce5ff6b

Aliases

arxiv: 1401.6014 · arxiv_version: 1401.6014v1 · doi: 10.48550/arxiv.1401.6014 · pith_short_12: OOD4V55DHKFF · pith_short_16: OOD4V55DHKFFOH5U · pith_short_8: OOD4V55D

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/OOD4V55DHKFFOH5UORVGO25WS7 \
  | 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: 7387caf7a33a8a571fb4746a676bb697c2933cb9e6d61237ff2625125ce5ff6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d724b58597191175aa79e260c5bd01cd85a356e3f9bf198ff1669c5eb901b4",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-23T15:46:50Z",
    "title_canon_sha256": "bfa2576b9049855facce26d8f852164a38d64d3ec339907c164bc4f3ba285862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6014",
    "kind": "arxiv",
    "version": 1
  }
}