Pith Number

pith:2FAVZKNK

pith:2015:2FAVZKNK4QOUL5XJZNLZAJ4WTQ

not attested not anchored not stored refs pending

Coordinated Two-Tier Heterogeneous Cellular Networks with Leakage Based Beamforming

Harsh Tataria, Mansoor Shafi, Pawel A. Dmochowski, Peter J. Smith

arxiv:1503.01566 v1 · 2015-03-05 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FAVZKNK4QOUL5XJZNLZAJ4WTQ}

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	2026-05-18T02:25:33.334635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1415ca9aae41d45f6e9cb579027969c24d618c2d17ab294fb4f8ec57057adf6

Aliases

arxiv: 1503.01566 · arxiv_version: 1503.01566v1 · doi: 10.48550/arxiv.1503.01566 · pith_short_12: 2FAVZKNK4QOU · pith_short_16: 2FAVZKNK4QOUL5XJ · pith_short_8: 2FAVZKNK

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/2FAVZKNK4QOUL5XJZNLZAJ4WTQ \
  | 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: d1415ca9aae41d45f6e9cb579027969c24d618c2d17ab294fb4f8ec57057adf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6667c03b17362bb261323bb29dc365dfaa8781525b71b9a170a0459bdb62f6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-05T07:50:06Z",
    "title_canon_sha256": "a39996367fae8e35180e1aa5de62ec262a3391553d59b2ed0ff47eb0fecf0583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01566",
    "kind": "arxiv",
    "version": 1
  }
}