Pith Number

pith:6V4TKCLJ

pith:2017:6V4TKCLJBOIU6CY7BVW4N4CP64

not attested not anchored not stored refs pending

Berry-Esseen bounds for self-normalized martingales

Qi-Man Shao, Xiequan Fan

arxiv:1712.03667 v1 · 2017-12-11 · 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{6V4TKCLJBOIU6CY7BVW4N4CP64}

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	2026-05-17T23:41:37.281413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5793509690b914f0b1f0d6dc6f04ff730ab3bef3cad11fdb7dc44d59e1ef0f4

Aliases

arxiv: 1712.03667 · arxiv_version: 1712.03667v1 · doi: 10.48550/arxiv.1712.03667 · pith_short_12: 6V4TKCLJBOIU · pith_short_16: 6V4TKCLJBOIU6CY7 · pith_short_8: 6V4TKCLJ

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/6V4TKCLJBOIU6CY7BVW4N4CP64 \
  | 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: f5793509690b914f0b1f0d6dc6f04ff730ab3bef3cad11fdb7dc44d59e1ef0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e63c22342ad330f721d9370c99157c5e3ba1b9cebc33a803b45133f7892b3f50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-11T07:51:57Z",
    "title_canon_sha256": "18daf9e1d0390b2ecdb1d4aa0871c993177ea8b2ab80aa6cc0dde18b84b44d5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03667",
    "kind": "arxiv",
    "version": 1
  }
}