Pith Number

pith:2PZZZLDK

pith:2017:2PZZZLDKEY2DVR4CUYGHLWSO5K

not attested not anchored not stored refs pending

Area Spectral Efficiency and Coverage for Mixed Duplexing Networks with Directional Transmissions

Alphan Sahin, Robert L. Olesen, Sanjay Goyal

arxiv:1708.09009 v1 · 2017-08-29 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PZZZLDKEY2DVR4CUYGHLWSO5K}

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	2026-05-18T00:36:21.369094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f39cac6a26343ac782a60c75da4eeabef813013033a4b3d57c7beddcd5e65a

Aliases

arxiv: 1708.09009 · arxiv_version: 1708.09009v1 · doi: 10.48550/arxiv.1708.09009 · pith_short_12: 2PZZZLDKEY2D · pith_short_16: 2PZZZLDKEY2DVR4C · pith_short_8: 2PZZZLDK

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/2PZZZLDKEY2DVR4CUYGHLWSO5K \
  | 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: d3f39cac6a26343ac782a60c75da4eeabef813013033a4b3d57c7beddcd5e65a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0491f3a97c4470890463f10121671a7ea40ebd11bafc59519f2615ab879ad5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2017-08-29T20:24:41Z",
    "title_canon_sha256": "7c4b5c971b2d1ea8c46073ea56bfd7888f5d4d4fdc8ca837f41e88220934b9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09009",
    "kind": "arxiv",
    "version": 1
  }
}