Pith Number

pith:VGITVNFH

pith:2015:VGITVNFHOK6ZLPL7IO6W42GZ4R

not attested not anchored not stored refs pending

Nonhomogeneous quantum Markov chains and a notion of ergodicity

Carlos F. Lardizabal, Rafael R. Souza

arxiv:1504.05398 v3 · 2015-04-21 · quant-ph · math-ph · math.MP · 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{VGITVNFHOK6ZLPL7IO6W42GZ4R}

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	2026-05-18T01:09:36.840202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9913ab4a772bd95bd7f43bd6e68d9e44d39f90e368b46cf7c8dea7f8bca8762

Aliases

arxiv: 1504.05398 · arxiv_version: 1504.05398v3 · doi: 10.48550/arxiv.1504.05398 · pith_short_12: VGITVNFHOK6Z · pith_short_16: VGITVNFHOK6ZLPL7 · pith_short_8: VGITVNFH

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/VGITVNFHOK6ZLPL7IO6W42GZ4R \
  | 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: a9913ab4a772bd95bd7f43bd6e68d9e44d39f90e368b46cf7c8dea7f8bca8762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e00d5383b9aa143dee879e4ddb8c11f88fe97bf1eccdbfcc5ad47b4c6770c6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-04-21T12:14:42Z",
    "title_canon_sha256": "4f4a1ba1a2d5aa2099942e07660ae8b5c561a8489b035ccdfcb95b26487022d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05398",
    "kind": "arxiv",
    "version": 3
  }
}