Pith Number

pith:VAC7SMU7

pith:2016:VAC7SMU7L4OIXJBQ2WOENJ76XG

not attested not anchored not stored refs pending

Waiting times and stopping probabilities for patterns in Markov chains

Dong Xu, Hui-Zeng Zhang, Min-Zhi Zhao

arxiv:1602.06512 v2 · 2016-02-21 · 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{VAC7SMU7L4OIXJBQ2WOENJ76XG}

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	2026-05-18T00:50:29.716694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a805f9329f5f1c8ba430d59c46a7feb9bd9100979e4fd6b141c0230d4d813e59

Aliases

arxiv: 1602.06512 · arxiv_version: 1602.06512v2 · doi: 10.48550/arxiv.1602.06512 · pith_short_12: VAC7SMU7L4OI · pith_short_16: VAC7SMU7L4OIXJBQ · pith_short_8: VAC7SMU7

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/VAC7SMU7L4OIXJBQ2WOENJ76XG \
  | 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: a805f9329f5f1c8ba430d59c46a7feb9bd9100979e4fd6b141c0230d4d813e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3835aae0082242c41692ca7eec37b221814b9f1720fd7d09534db7b3e14b95e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-21T08:25:51Z",
    "title_canon_sha256": "502730d5477e2211ea2a5dbbeafebacf4e9d32462384d7e0abf83acded09aba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06512",
    "kind": "arxiv",
    "version": 2
  }
}