Pith Number

pith:3SHLDNSG

pith:2018:3SHLDNSGY227KGYASJ55KUGSFJ

not attested not anchored not stored refs pending

Tail Asymptotic Behavior of the supremum of a class of chi-square processes

Lanpeng Ji, Peng Liu, Stephan Robert

arxiv:1801.02486 v2 · 2018-01-08 · 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{3SHLDNSGY227KGYASJ55KUGSFJ}

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	2026-05-17T23:42:03.300578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc8eb1b646c6b5f51b00927bd550d22a5d1e5103dac045508aeefd82c998da85

Aliases

arxiv: 1801.02486 · arxiv_version: 1801.02486v2 · doi: 10.48550/arxiv.1801.02486 · pith_short_12: 3SHLDNSGY227 · pith_short_16: 3SHLDNSGY227KGYA · pith_short_8: 3SHLDNSG

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/3SHLDNSGY227KGYASJ55KUGSFJ \
  | 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: dc8eb1b646c6b5f51b00927bd550d22a5d1e5103dac045508aeefd82c998da85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2477f376f8117b2cfacb4f6f1401887176b628e6310cac3fd1c7ef68ee644a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-08T15:18:22Z",
    "title_canon_sha256": "d5ba127596ca164c4251707aeda1b5b51dd65ed5b2433b9d99aa06d3950bff03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02486",
    "kind": "arxiv",
    "version": 2
  }
}