Pith Number

pith:QTY5OPZM

pith:2015:QTY5OPZMMLZR5STGONNAX4TBOC

not attested not anchored not stored refs pending

Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation

Anselm Reichenbachs, Christoph Thaele, Kai Krokowski

arxiv:1503.01029 v2 · 2015-03-03 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTY5OPZMMLZR5STGONNAX4TBOC}

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	2026-05-18T01:27:07.842864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f1d73f2c62f31eca66735a0bf261708d6bb52b0ddd4c540bea15832ec4bfd2

Aliases

arxiv: 1503.01029 · arxiv_version: 1503.01029v2 · doi: 10.48550/arxiv.1503.01029 · pith_short_12: QTY5OPZMMLZR · pith_short_16: QTY5OPZMMLZR5STG · pith_short_8: QTY5OPZM

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/QTY5OPZMMLZR5STGONNAX4TBOC \
  | 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: 84f1d73f2c62f31eca66735a0bf261708d6bb52b0ddd4c540bea15832ec4bfd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9812871eb29d48c52f8ef03c0d74fc76dc6a3ac97704a7f36c6214fad246081a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-03T17:54:59Z",
    "title_canon_sha256": "a05d972d035be64df0070331e66e4ae7b0d229a41140800b133c85ff73ed9899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01029",
    "kind": "arxiv",
    "version": 2
  }
}