Pith Number

pith:7XZ3GHCI

pith:2015:7XZ3GHCIQGQTFWX7QMMEU3E7KM

not attested not anchored not stored refs pending

Models of Markov processes with a random transition mechanism

Y. Belopolskaya, Y. Suhov

arxiv:1508.05598 v2 · 2015-08-23 · 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{7XZ3GHCIQGQTFWX7QMMEU3E7KM}

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	2026-05-18T01:29:53.745361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf3b31c4881a132daff83184a6c9f532cc1060be0de752def8f20b14f6259b8

Aliases

arxiv: 1508.05598 · arxiv_version: 1508.05598v2 · doi: 10.48550/arxiv.1508.05598 · pith_short_12: 7XZ3GHCIQGQT · pith_short_16: 7XZ3GHCIQGQTFWX7 · pith_short_8: 7XZ3GHCI

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/7XZ3GHCIQGQTFWX7QMMEU3E7KM \
  | 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: fdf3b31c4881a132daff83184a6c9f532cc1060be0de752def8f20b14f6259b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "783b2c465798ad664d5457730552522a4d211c75c3d349d742dd95b37ab89fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-08-23T11:46:37Z",
    "title_canon_sha256": "a6bc548d98c46b8b90fd8cdd3c8ddc3642c2ba73d651b20a3045b6f8fab1f6e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05598",
    "kind": "arxiv",
    "version": 2
  }
}