Pith Number

pith:NCPINC3W

pith:2017:NCPINC3W5WYX3A73XKIGYPPTTO

not attested not anchored not stored refs pending

The exact asymptotics of the large deviation probabilities in the multivariate boundary crossing problem

Konstantin Borovkov, Yuqing Pan

arxiv:1708.09605 v3 · 2017-08-31 · 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{NCPINC3W5WYX3A73XKIGYPPTTO}

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	2026-05-17T23:46:46.544412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689e868b76edb17d83fbba906c3df39bb54edc68e20ea99e7104b828e0d79aa8

Aliases

arxiv: 1708.09605 · arxiv_version: 1708.09605v3 · doi: 10.48550/arxiv.1708.09605 · pith_short_12: NCPINC3W5WYX · pith_short_16: NCPINC3W5WYX3A73 · pith_short_8: NCPINC3W

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/NCPINC3W5WYX3A73XKIGYPPTTO \
  | 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: 689e868b76edb17d83fbba906c3df39bb54edc68e20ea99e7104b828e0d79aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48cadd72c8b7f20e8bc1459a97d8cf39f471091470af403fd9075d65094ff133",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-31T08:08:05Z",
    "title_canon_sha256": "d6f04a7891fb34d2ce4ec4fdbca3a0258c49228c335d2b600c918bd7c8ae2ab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09605",
    "kind": "arxiv",
    "version": 3
  }
}