Pith Number

pith:VPO2PO5D

pith:2019:VPO2PO5DAZYS4ZNV4NXJR2L34Z

not attested not anchored not stored refs pending

Autocorrelation Function Characterization of Continuous Time Markov Chains

Douglas G. Down, G. Rama Murthy

arxiv:1908.09284 v1 · 2019-08-25 · 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{VPO2PO5DAZYS4ZNV4NXJR2L34Z}

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	2026-07-04T23:59:38.857194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdda7bba306712e65b5e36e98e97be658baf072eb67ff129e409c654457046d

Aliases

arxiv: 1908.09284 · arxiv_version: 1908.09284v1 · doi: 10.48550/arxiv.1908.09284 · pith_short_12: VPO2PO5DAZYS · pith_short_16: VPO2PO5DAZYS4ZNV · pith_short_8: VPO2PO5D

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/VPO2PO5DAZYS4ZNV4NXJR2L34Z \
  | 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: abdda7bba306712e65b5e36e98e97be658baf072eb67ff129e409c654457046d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a654b9fb5327651b26feea26ca49fc4906e51cb64dec6c7782134c668046bfe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-25T09:05:20Z",
    "title_canon_sha256": "bda045ad7f8ddb04dc2a90a21088b22db7eb4678e6f19f8e1d54e73232abfdd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09284",
    "kind": "arxiv",
    "version": 1
  }
}