Pith Number

pith:Y642FYZK

pith:2013:Y642FYZKLEZ2GBG4VZHXT35KQK

not attested not anchored not stored refs pending

Hitting Time Distribution for Skip-Free Markov Chains: A Simple Proof

Ke Zhou, Wenming Hong

arxiv:1301.7180 v1 · 2013-01-30 · 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{Y642FYZKLEZ2GBG4VZHXT35KQK}

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	2026-05-18T03:35:01.067371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b9a2e32a5933a304dcae4f79efaa82b00bb72b3a904bab1ab3b18617700256

Aliases

arxiv: 1301.7180 · arxiv_version: 1301.7180v1 · doi: 10.48550/arxiv.1301.7180 · pith_short_12: Y642FYZKLEZ2 · pith_short_16: Y642FYZKLEZ2GBG4 · pith_short_8: Y642FYZK

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/Y642FYZKLEZ2GBG4VZHXT35KQK \
  | 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: c7b9a2e32a5933a304dcae4f79efaa82b00bb72b3a904bab1ab3b18617700256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ae1a7196e21c3edbb47b918cfcddd1be3d8ebf0a9c959665c7472414529250",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-30T09:46:27Z",
    "title_canon_sha256": "e11617107bb38f5b4f8ea823e616099e77ec7d7984c752b915a9f94e6482ba9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7180",
    "kind": "arxiv",
    "version": 1
  }
}