Pith Number

pith:7UNEPI3K

pith:2015:7UNEPI3KCWWH23CQYKPCJEZ4WC

not attested not anchored not stored refs pending

Optimal Energy Allocation Policy for Wireless Networks in the Sky

Dinh Thai Hoang, Dusit Niyato, Nguyen Tai Hung

arxiv:1501.05057 v1 · 2015-01-21 · cs.NI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UNEPI3KCWWH23CQYKPCJEZ4WC}

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	2026-05-18T02:29:00.844272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1a47a36a15ac7d6c50c29e24933cb0b6d443015ad7a8d08e10ee4659bc725d

Aliases

arxiv: 1501.05057 · arxiv_version: 1501.05057v1 · doi: 10.48550/arxiv.1501.05057 · pith_short_12: 7UNEPI3KCWWH · pith_short_16: 7UNEPI3KCWWH23CQ · pith_short_8: 7UNEPI3K

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/7UNEPI3KCWWH23CQYKPCJEZ4WC \
  | 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: fd1a47a36a15ac7d6c50c29e24933cb0b6d443015ad7a8d08e10ee4659bc725d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1f4d834c42f92e27b30dab1df60918cc15cab2434e80abcd45f437d20380e14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-01-21T05:06:22Z",
    "title_canon_sha256": "2bfe96ead0f2fdecd847e1bf2837f562ff81ded337e76221e89af08080801cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05057",
    "kind": "arxiv",
    "version": 1
  }
}