Pith Number

pith:PDCTQNXA

pith:2016:PDCTQNXAL5U5XAUVJ2Y55KAESE

not attested not anchored not stored refs pending

Closed-form Approximations for Coverage and Rate in a Multi-tier Heterogeneous Network in Nakagami-m Fading

A. Kumar, G. V. S. S. Praneeth Varma, G. V. V. Sharma

arxiv:1604.07157 v1 · 2016-04-25 · 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{PDCTQNXAL5U5XAUVJ2Y55KAESE}

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	2026-05-18T01:16:22.917885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c53836e05f69db82954eb1dea8049134cbc18dc19caba9a1f3fa2b25ceb11f

Aliases

arxiv: 1604.07157 · arxiv_version: 1604.07157v1 · doi: 10.48550/arxiv.1604.07157 · pith_short_12: PDCTQNXAL5U5 · pith_short_16: PDCTQNXAL5U5XAUV · pith_short_8: PDCTQNXA

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/PDCTQNXAL5U5XAUVJ2Y55KAESE \
  | 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: 78c53836e05f69db82954eb1dea8049134cbc18dc19caba9a1f3fa2b25ceb11f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1564c7cf3e2670d0f6c62d2c5910f3e3e37677026d4c2bb255aa2c66feba3c27",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-25T08:07:07Z",
    "title_canon_sha256": "79a54432238aeaae3f5132dcf2e59e68c032496ad84f5952c2d227d44aae418b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07157",
    "kind": "arxiv",
    "version": 1
  }
}