Pith Number

pith:VKBFMD7L

pith:2011:VKBFMD7LFSBN7VRQHHERHPTY43

not attested not anchored not stored refs pending

Joint Routing, Scheduling And Power Control For Multihop Wireless Networks With Multiple Antennas

Harish Vangala, Prof. Vinod Sharma, Rahul Meshram

arxiv:1110.0310 v1 · 2011-10-03 · cs.NI · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKBFMD7LFSBN7VRQHHERHPTY43}

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	2026-05-18T04:11:50.276841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa82560feb2c82dfd63039c913be78e6ead2953839ed1662ec6bd5ea07a5335f

Aliases

arxiv: 1110.0310 · arxiv_version: 1110.0310v1 · doi: 10.48550/arxiv.1110.0310 · pith_short_12: VKBFMD7LFSBN · pith_short_16: VKBFMD7LFSBN7VRQ · pith_short_8: VKBFMD7L

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/VKBFMD7LFSBN7VRQHHERHPTY43 \
  | 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: aa82560feb2c82dfd63039c913be78e6ead2953839ed1662ec6bd5ea07a5335f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc15190699e675c8fea7c88144df118a50687d329172cb71907c88353d8e6d1d",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-10-03T10:02:09Z",
    "title_canon_sha256": "1cde17ad457810fe74be51361d2850ba87733dfa0428482a3fb1a62a438f7782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0310",
    "kind": "arxiv",
    "version": 1
  }
}