Pith Number

pith:3DCBUOXI

pith:2013:3DCBUOXINYWZASOOZMSBXNB3LU

not attested not anchored not stored refs pending

Further Refinement of Self-normalized Cram\a'{e}r-type moderate Deviations

Hailin Sang, Lin Ge

arxiv:1309.5433 v4 · 2013-09-21 · 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{3DCBUOXINYWZASOOZMSBXNB3LU}

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	2026-05-18T00:44:18.209167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8c41a3ae86e2d9049cecb241bb43b5d0adcdcfd348eca343a8239fff2a105d8

Aliases

arxiv: 1309.5433 · arxiv_version: 1309.5433v4 · doi: 10.48550/arxiv.1309.5433 · pith_short_12: 3DCBUOXINYWZ · pith_short_16: 3DCBUOXINYWZASOO · pith_short_8: 3DCBUOXI

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/3DCBUOXINYWZASOOZMSBXNB3LU \
  | 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: d8c41a3ae86e2d9049cecb241bb43b5d0adcdcfd348eca343a8239fff2a105d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576dc2d3686fb0ef74e92f82412f2023306e9044e8f2579d130522960d9064f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-21T04:22:54Z",
    "title_canon_sha256": "79342c6b095ac2be471eade0b5312e0af266d8f6311049be5f0c6fe663b6222f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5433",
    "kind": "arxiv",
    "version": 4
  }
}