Pith Number

pith:QP5RMKT4

pith:2015:QP5RMKT4PK4NVFNDKR7COUAASB

not attested not anchored not stored refs pending

Extreme Events of Markov Chains

Adam Butler, Ioannis Papastathopoulos, Jonathan A. Tawn, Kirstin Strokorb

arxiv:1510.08920 v2 · 2015-10-29 · 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{QP5RMKT4PK4NVFNDKR7COUAASB}

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	2026-05-18T01:17:37.118146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fb162a7c7ab8da95a3547e275000907590af1d2bdb5551a19b79370964a416

Aliases

arxiv: 1510.08920 · arxiv_version: 1510.08920v2 · doi: 10.48550/arxiv.1510.08920 · pith_short_12: QP5RMKT4PK4N · pith_short_16: QP5RMKT4PK4NVFND · pith_short_8: QP5RMKT4

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/QP5RMKT4PK4NVFNDKR7COUAASB \
  | 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: 83fb162a7c7ab8da95a3547e275000907590af1d2bdb5551a19b79370964a416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67c3f268fac2156b599a153e2d9a3ec0c330bef824ce31e43b5149e5d8d2581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-29T21:54:32Z",
    "title_canon_sha256": "e1d5304607fbcd5e48752032086a1776213e9cd77fd19ca4e5a5f60bc11a97cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08920",
    "kind": "arxiv",
    "version": 2
  }
}