Pith Number

pith:DNYLW3FL

pith:2015:DNYLW3FLVMGGH2UWTYLUBQYZ4C

not attested not anchored not stored refs pending

Continuous-time block-monotone Markov chains and their block-augmented truncations

Hiroyuki Masuyama

arxiv:1511.04669 v4 · 2015-11-15 · 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{DNYLW3FLVMGGH2UWTYLUBQYZ4C}

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	2026-05-18T00:57:42.709858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b70bb6cabab0c63ea969e1740c319e0a0a4b3481d8d3a7d51f05eccc4aac9d6

Aliases

arxiv: 1511.04669 · arxiv_version: 1511.04669v4 · doi: 10.48550/arxiv.1511.04669 · pith_short_12: DNYLW3FLVMGG · pith_short_16: DNYLW3FLVMGGH2UW · pith_short_8: DNYLW3FL

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/DNYLW3FLVMGGH2UWTYLUBQYZ4C \
  | 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: 1b70bb6cabab0c63ea969e1740c319e0a0a4b3481d8d3a7d51f05eccc4aac9d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f92b415c869abcc2687a869dde25edb5dfb9773b4710263491e0847043fbf76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-15T07:42:39Z",
    "title_canon_sha256": "8e5de19a8b7f9da4f98c9f41d7d4abb26e44bea2103ca70b58b6548432be6905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04669",
    "kind": "arxiv",
    "version": 4
  }
}