Pith Number

pith:UASVYKWM

pith:2015:UASVYKWMYXHQX6GEQDAWPW2IR4

not attested not anchored not stored refs pending

A Lyapunov Optimization Approach for Green Cellular Networks with Hybrid Energy Supplies

Jun Zhang, Khaled B. Letaief, Yuyi Mao

arxiv:1509.01886 v2 · 2015-09-07 · 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{UASVYKWMYXHQX6GEQDAWPW2IR4}

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	2026-05-18T00:58:10.390549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0255c2accc5cf0bf8c480c167db488f1308355ba16b33f7afb4b3930adf0707

Aliases

arxiv: 1509.01886 · arxiv_version: 1509.01886v2 · doi: 10.48550/arxiv.1509.01886 · pith_short_12: UASVYKWMYXHQ · pith_short_16: UASVYKWMYXHQX6GE · pith_short_8: UASVYKWM

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/UASVYKWMYXHQX6GEQDAWPW2IR4 \
  | 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: a0255c2accc5cf0bf8c480c167db488f1308355ba16b33f7afb4b3930adf0707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b2cee27876c9e24e1df1af95c6a68680e3abe07cc8f5c5402fc01accbbb7165",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-09-07T02:50:10Z",
    "title_canon_sha256": "6133490688483394ec0d6b4405211cdfe08aac8496eb9142cc5da4f797006c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01886",
    "kind": "arxiv",
    "version": 2
  }
}