Pith Number

pith:Q5P7SIT2

pith:2015:Q5P7SIT2FS5MYPIO7PMYWFOQMI

not attested not anchored not stored refs pending

Local Limit Theorems in some Random models from Number Theory

Michel Weber, Rita Giuliano

arxiv:1502.05939 v1 · 2015-02-20 · 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{Q5P7SIT2FS5MYPIO7PMYWFOQMI}

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	2026-05-18T00:39:58.674050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875ff9227a2cbacc3d0efbd98b15d062391abf877afa4910929a8177358c6763

Aliases

arxiv: 1502.05939 · arxiv_version: 1502.05939v1 · doi: 10.48550/arxiv.1502.05939 · pith_short_12: Q5P7SIT2FS5M · pith_short_16: Q5P7SIT2FS5MYPIO · pith_short_8: Q5P7SIT2

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/Q5P7SIT2FS5MYPIO7PMYWFOQMI \
  | 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: 875ff9227a2cbacc3d0efbd98b15d062391abf877afa4910929a8177358c6763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb312bd22c9ef0a4b7684d971fc05bc0b21ea8aa64d2af05a046aeda574464a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-20T17:10:58Z",
    "title_canon_sha256": "096d154a4d5ea3fd17c09168c29b29fa68d105c6a18c1264fdec8c56cfb28826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05939",
    "kind": "arxiv",
    "version": 1
  }
}