Pith Number

pith:5X56J3NL

pith:2016:5X56J3NLWH7OY7GE7SARAQPYXI

not attested not anchored not stored refs pending

A Hybrid Energy Sharing Framework for Green Cellular Networks

Abdullah Kadri, Hakim Ghazzai, Hesham ElSawy, Mohamed-Slim Alouini, Muhammad Junaid Farooq

arxiv:1701.01322 v1 · 2016-12-05 · cs.NI · cs.CG · 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{5X56J3NLWH7OY7GE7SARAQPYXI}

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	2026-07-05T00:22:59.710638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edfbe4edabb1feec7cc4fc811041f8ba20425202ac1b8455da35904b01f51033

Aliases

arxiv: 1701.01322 · arxiv_version: 1701.01322v1 · doi: 10.48550/arxiv.1701.01322 · pith_short_12: 5X56J3NLWH7O · pith_short_16: 5X56J3NLWH7OY7GE · pith_short_8: 5X56J3NL

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/5X56J3NLWH7OY7GE7SARAQPYXI \
  | 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: edfbe4edabb1feec7cc4fc811041f8ba20425202ac1b8455da35904b01f51033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27185196bd578fc4993f947f88da12b9a51739c13e25454c94e41fbdf70fb929",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2016-12-05T15:30:57Z",
    "title_canon_sha256": "ce43f14009d7a3a9ece6c1a39bd7e79d7c651f5d1ef1e91adc3fe92badaad890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01322",
    "kind": "arxiv",
    "version": 1
  }
}