Pith Number

pith:ZR2LCXIL

pith:2016:ZR2LCXILXMZJMI3LXBJVAHD5BO

not attested not anchored not stored refs pending

Nonuniform Berry-Esseen bounds for martingales with applications to statistical estimation

Ion Grama, Quansheng Liu, Xiequan Fan

arxiv:1608.05217 v1 · 2016-08-18 · 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{ZR2LCXILXMZJMI3LXBJVAHD5BO}

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	2026-05-18T00:38:46.551119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc74b15d0bbb3296236bb853501c7d0bb3fddd622d3d8805cde3b4ac1a22ff34

Aliases

arxiv: 1608.05217 · arxiv_version: 1608.05217v1 · doi: 10.48550/arxiv.1608.05217 · pith_short_12: ZR2LCXILXMZJ · pith_short_16: ZR2LCXILXMZJMI3L · pith_short_8: ZR2LCXIL

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/ZR2LCXILXMZJMI3LXBJVAHD5BO \
  | 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: cc74b15d0bbb3296236bb853501c7d0bb3fddd622d3d8805cde3b4ac1a22ff34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d67c35844e230389b6c8b7ad9853a8684388d84ac628a792d81b1e5314bf84d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-18T09:34:08Z",
    "title_canon_sha256": "36ca82b3d3426435f860ca2b97ae3b8aeeb63c5e749b6fc338ed991aa1f96e78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05217",
    "kind": "arxiv",
    "version": 1
  }
}