Pith Number

pith:TFPPHVSD

pith:2013:TFPPHVSDX6TAMSDZSJMNTNJ7ZV

not attested not anchored not stored refs pending

On Number of Almost Blank Subframes in Heterogeneous Cellular Networks

Carl Wijting, Haining Wang, Michal Cierny, Risto Wichman, Zhi Ding

arxiv:1304.2269 v3 · 2013-04-08 · 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{TFPPHVSDX6TAMSDZSJMNTNJ7ZV}

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	2026-05-18T00:58:42.516630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995ef3d643bfa60648799258d9b53fcd4435991afef8eeb4a006c23fa1861ebe

Aliases

arxiv: 1304.2269 · arxiv_version: 1304.2269v3 · doi: 10.48550/arxiv.1304.2269 · pith_short_12: TFPPHVSDX6TA · pith_short_16: TFPPHVSDX6TAMSDZ · pith_short_8: TFPPHVSD

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/TFPPHVSDX6TAMSDZSJMNTNJ7ZV \
  | 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: 995ef3d643bfa60648799258d9b53fcd4435991afef8eeb4a006c23fa1861ebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ffdb2908af23850f78305634bac12bd659cd3fac4454a28ed14059957352d1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-08T17:02:22Z",
    "title_canon_sha256": "5f0a76705d83e7b38a4d151142b875a049b17630d0dcaf075f03787debee0a98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2269",
    "kind": "arxiv",
    "version": 3
  }
}