Pith Number

pith:PBNHSO4S

pith:2013:PBNHSO4SM2E32NOI5Q75EYTCSV

not attested not anchored not stored refs pending

Self-normalized Cram\'{e}r type moderate deviations for the maximum of sums

Qi-Man Shao, Qiying Wang, Weidong Liu

arxiv:1307.6044 v1 · 2013-07-23 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBNHSO4SM2E32NOI5Q75EYTCSV}

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	2026-05-18T03:17:45.479782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785a793b926689bd35c8ec3fd2626295630ccdf328bd6927a5ccf7fccacb2468

Aliases

arxiv: 1307.6044 · arxiv_version: 1307.6044v1 · doi: 10.48550/arxiv.1307.6044 · pith_short_12: PBNHSO4SM2E3 · pith_short_16: PBNHSO4SM2E32NOI · pith_short_8: PBNHSO4S

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/PBNHSO4SM2E32NOI5Q75EYTCSV \
  | 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: 785a793b926689bd35c8ec3fd2626295630ccdf328bd6927a5ccf7fccacb2468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5dcb20014927f3036d68a153c10f652b7bcb298f62dfd119d6927de6e06f3cb",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-07-23T12:41:33Z",
    "title_canon_sha256": "963cca95132b294b82477530a28f73e62f024571798d8648e2433df3682ceaf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6044",
    "kind": "arxiv",
    "version": 1
  }
}