Pith Number

pith:IHDNV5JE

pith:2013:IHDNV5JEFA2F2UCJY7MLFK2Q4Q

not attested not anchored not stored refs pending

Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base

Farrukh Mukhamedov

arxiv:1311.0624 v1 · 2013-11-04 · math.FA · math.DS · 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{IHDNV5JEFA2F2UCJY7MLFK2Q4Q}

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	2026-05-18T03:08:05.319247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c6daf52428345d5049c7d8b2ab50e4074e7927dd75ce66576c0b054575fded

Aliases

arxiv: 1311.0624 · arxiv_version: 1311.0624v1 · doi: 10.48550/arxiv.1311.0624 · pith_short_12: IHDNV5JEFA2F · pith_short_16: IHDNV5JEFA2F2UCJ · pith_short_8: IHDNV5JE

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/IHDNV5JEFA2F2UCJY7MLFK2Q4Q \
  | 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: 41c6daf52428345d5049c7d8b2ab50e4074e7927dd75ce66576c0b054575fded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe7d1001e1b2165d89f0a9c3b410707392848ff1b5828074a759c37a94318dde",
    "cross_cats_sorted": [
      "math.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-11-04T09:47:02Z",
    "title_canon_sha256": "4707c03fc2292c82679cd14907a321f444ac1f0ad788da4605ad3a1c07f05960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0624",
    "kind": "arxiv",
    "version": 1
  }
}