Pith Number

pith:F4RJUK2W

pith:2011:F4RJUK2WEKUDRYZMOIYURQYW7U

not attested not anchored not stored refs pending

ROOT: Energy Efficient Routing through Optimized Tree in Sensor Networks

Ayon Chakraborty, Kaushik Chakraborty, Mrinal Kanti Naskar, Swarup Kumar Mitra

arxiv:1105.2091 v2 · 2011-05-11 · cs.NI · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4RJUK2WEKUDRYZMOIYURQYW7U}

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	2026-05-18T04:19:21.513108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f229a2b5622a838e32c723148c316fd265b6af4083487aeadb666aeead3cb38

Aliases

arxiv: 1105.2091 · arxiv_version: 1105.2091v2 · doi: 10.48550/arxiv.1105.2091 · pith_short_12: F4RJUK2WEKUD · pith_short_16: F4RJUK2WEKUDRYZM · pith_short_8: F4RJUK2W

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/F4RJUK2WEKUDRYZMOIYURQYW7U \
  | 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: 2f229a2b5622a838e32c723148c316fd265b6af4083487aeadb666aeead3cb38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b366461008f9924d1ad634e744c96f872f57c4023ad5db3191522fc532805bfd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2011-05-11T01:52:12Z",
    "title_canon_sha256": "c3e5f5ef3c9fbc1d4c87f2396f8de8812def19e5094c3f70149eace37aefe807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2091",
    "kind": "arxiv",
    "version": 2
  }
}