Pith Number

pith:DOAO4GUT

pith:2015:DOAO4GUTNUXOCSZ7O433NIA7VV

not attested not anchored not stored refs pending

Laplace transform asymptotics and large deviation principles for longest success runs in Bernoulli trials

Takis Konstantopoulos, Xiangfeng Yang, Zhenxia Liu

arxiv:1507.02935 v1 · 2015-07-10 · 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{DOAO4GUTNUXOCSZ7O433NIA7VV}

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	2026-05-18T01:37:02.900152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b80ee1a936d2ee14b3f7737b6a01fad6321097f7eac641e596b0f11dbdbef33

Aliases

arxiv: 1507.02935 · arxiv_version: 1507.02935v1 · doi: 10.48550/arxiv.1507.02935 · pith_short_12: DOAO4GUTNUXO · pith_short_16: DOAO4GUTNUXOCSZ7 · pith_short_8: DOAO4GUT

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/DOAO4GUTNUXOCSZ7O433NIA7VV \
  | 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: 1b80ee1a936d2ee14b3f7737b6a01fad6321097f7eac641e596b0f11dbdbef33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4488aa497ea99fb94910a53b487d8f1798857e2e7a20f262f5d8275d5f32510a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-10T15:16:25Z",
    "title_canon_sha256": "5b2d9b0b0704a343b0ad938d76e4b5f4d3280b485eeb9eeafd35753b79901bd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02935",
    "kind": "arxiv",
    "version": 1
  }
}