Pith Number

pith:BNZXZ6E6

pith:2012:BNZXZ6E6XCLAYLIFIQC4D7RGRW

not attested not anchored not stored refs pending

An Algorithmic Solution for Computing Circle Intersection Areas and its Applications to Wireless Communications

Federico Librino, Marco Levorato, Michele Zorzi

arxiv:1204.3569 v2 · 2012-04-16 · cs.CG · cs.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{BNZXZ6E6XCLAYLIFIQC4D7RGRW}

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	2026-07-05T08:46:04.545297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b737cf89eb8960c2d054405c1fe268db4ca0f5a5106470c4b34a26dc01b96c4

Aliases

arxiv: 1204.3569 · arxiv_version: 1204.3569v2 · doi: 10.48550/arxiv.1204.3569 · pith_short_12: BNZXZ6E6XCLA · pith_short_16: BNZXZ6E6XCLAYLIF · pith_short_8: BNZXZ6E6

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/BNZXZ6E6XCLAYLIFIQC4D7RGRW \
  | 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: 0b737cf89eb8960c2d054405c1fe268db4ca0f5a5106470c4b34a26dc01b96c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f627e030ab03b5fd7ee96949f09370e8637205162d289e0420799f7a38e5ef",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-04-16T16:55:50Z",
    "title_canon_sha256": "d54e89bb7d365cf88091883db28f9fd934c68928c5fe7a58b50c8ebe13b20dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3569",
    "kind": "arxiv",
    "version": 2
  }
}