Pith Number

pith:TVP2PV5K

pith:2013:TVP2PV5KMRA7RUROJQ3BC3CVB6

not attested not anchored not stored refs pending

Optimal Power Allocation for Energy Harvesting and Power Grid Coexisting Wireless Communication Systems

Jie Gong, Sheng Zhou, Zhisheng Niu

arxiv:1303.3651 v1 · 2013-03-15 · 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{TVP2PV5KMRA7RUROJQ3BC3CVB6}

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	2026-05-18T03:30:52.783517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5fa7d7aa6441f8d22e4c36116c550fa91de0ce066d6f44f2b69dee093a3c63

Aliases

arxiv: 1303.3651 · arxiv_version: 1303.3651v1 · doi: 10.48550/arxiv.1303.3651 · pith_short_12: TVP2PV5KMRA7 · pith_short_16: TVP2PV5KMRA7RURO · pith_short_8: TVP2PV5K

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/TVP2PV5KMRA7RUROJQ3BC3CVB6 \
  | 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: 9d5fa7d7aa6441f8d22e4c36116c550fa91de0ce066d6f44f2b69dee093a3c63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79dc69e3f550ec867b50e0bf1178954da387f4d11ee31682185562635016d395",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-15T00:59:33Z",
    "title_canon_sha256": "ddd7f60352437f492bf3d01a6713e6f4a389f3bd0ce8a1cb16b3e072e7dd0eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3651",
    "kind": "arxiv",
    "version": 1
  }
}