Pith Number

pith:FCC5FDJ4

pith:2015:FCC5FDJ4U4NSISK34YXWAYBJ2A

not attested not anchored not stored refs pending

Error bounds for augmented truncations of discrete-time block-monotone Markov chains under subgeometric drift conditions

Hiroyuki Masuyama

arxiv:1506.01789 v5 · 2015-06-05 · 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{FCC5FDJ4U4NSISK34YXWAYBJ2A}

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	2026-05-18T00:57:32.004397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2885d28d3ca71b24495be62f606029d0305669159d51a25e0cb8f4bc9ffb87c8

Aliases

arxiv: 1506.01789 · arxiv_version: 1506.01789v5 · doi: 10.48550/arxiv.1506.01789 · pith_short_12: FCC5FDJ4U4NS · pith_short_16: FCC5FDJ4U4NSISK3 · pith_short_8: FCC5FDJ4

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/FCC5FDJ4U4NSISK34YXWAYBJ2A \
  | 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: 2885d28d3ca71b24495be62f606029d0305669159d51a25e0cb8f4bc9ffb87c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b397ea49d8807d948631b472209a054052c8d9ac90897b377c3267a32f91f7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-05T06:27:09Z",
    "title_canon_sha256": "70d8ffb5349bb91807579ac05640391d480e8cc94982b2a522317cf0b5820e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01789",
    "kind": "arxiv",
    "version": 5
  }
}