Pith Number

pith:3EE3XPI4

pith:2019:3EE3XPI4KW43VC7KTM3KNXJM77

not attested not anchored not stored refs pending

Cram\'{e}r type moderate deviations for stationary sequences of bounded random variables

Xiequan Fan

arxiv:1907.01757 v1 · 2019-07-03 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EE3XPI4KW43VC7KTM3KNXJM77}

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	2026-05-17T23:41:35.219473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d909bbbd1c55b9ba8bea9b36a6dd2cfff9280610c756d84ecf36dda94d414f82

Aliases

arxiv: 1907.01757 · arxiv_version: 1907.01757v1 · doi: 10.48550/arxiv.1907.01757 · pith_short_12: 3EE3XPI4KW43 · pith_short_16: 3EE3XPI4KW43VC7K · pith_short_8: 3EE3XPI4

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/3EE3XPI4KW43VC7KTM3KNXJM77 \
  | 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: d909bbbd1c55b9ba8bea9b36a6dd2cfff9280610c756d84ecf36dda94d414f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48175897d6e6250d2c85426ddf9ad59ff89175fd473711e10d0a18a19ea9b65f",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-03T06:37:42Z",
    "title_canon_sha256": "1ac4d0d37065e1f3c2e41edd13f53e5f19bbb72023f603cf87e351f23a8dd5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01757",
    "kind": "arxiv",
    "version": 1
  }
}