Pith Number

pith:G7KPVD6Z

pith:2015:G7KPVD6ZCXDF3BQFK7OSB3OQ5I

not attested not anchored not stored refs pending

Optimal Energy Allocation Policies for a High Altitude Flying Wireless Access Point

Elif Tugce Ceran, Elif Uysal-Biyikoglu, Kemal Leblebicioglu, Tolga Girici, Tugce Erkilic

arxiv:1509.08304 v2 · 2015-09-25 · cs.NI · 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{G7KPVD6ZCXDF3BQFK7OSB3OQ5I}

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	2026-05-18T01:30:07.699961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37d4fa8fd915c65d860557dd20edd0ea3c467e9520bfc2efdface7d0a58a94a5

Aliases

arxiv: 1509.08304 · arxiv_version: 1509.08304v2 · doi: 10.48550/arxiv.1509.08304 · pith_short_12: G7KPVD6ZCXDF · pith_short_16: G7KPVD6ZCXDF3BQF · pith_short_8: G7KPVD6Z

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/G7KPVD6ZCXDF3BQFK7OSB3OQ5I \
  | 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: 37d4fa8fd915c65d860557dd20edd0ea3c467e9520bfc2efdface7d0a58a94a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9e439112cfc72b02f4dde4a84b30eb85c9e31f8c35dd5b28048c2c883622c38",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-09-25T15:35:38Z",
    "title_canon_sha256": "530e890e98787bc2ad8ee625e12ade1252a3ab053e97a1b85e0a9ba45906252f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08304",
    "kind": "arxiv",
    "version": 2
  }
}