Pith Number

pith:LLNXVMJI

pith:2015:LLNXVMJIRK6GNTUZCM57A5DNZ5

not attested not anchored not stored refs pending

Statistical approach based on 1D Voronoi tessellation as a tool for studying the randomness of fractional digits of some irrational numbers

M. Fanfoni, M. Tomellini

arxiv:1506.03700 v1 · 2015-05-19 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLNXVMJIRK6GNTUZCM57A5DNZ5}

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	2026-05-18T01:53:03.493584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5adb7ab1288abc66ce99133bf0746dcf6f827e56ca6af1e46deab5c65a781123

Aliases

arxiv: 1506.03700 · arxiv_version: 1506.03700v1 · doi: 10.48550/arxiv.1506.03700 · pith_short_12: LLNXVMJIRK6G · pith_short_16: LLNXVMJIRK6GNTUZ · pith_short_8: LLNXVMJI

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/LLNXVMJIRK6GNTUZCM57A5DNZ5 \
  | 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: 5adb7ab1288abc66ce99133bf0746dcf6f827e56ca6af1e46deab5c65a781123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dfeafdd756863fffd042b9b8f0dc2775e3e227e2458530af61ba5801ed3cabe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-05-19T12:49:44Z",
    "title_canon_sha256": "b00c19f29667fc81050a7edb0643d9cbac4a273be8d95c9f227e7c1f96eede22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03700",
    "kind": "arxiv",
    "version": 1
  }
}