Pith Number

pith:ZQBBGQZM

pith:2015:ZQBBGQZM4UBSD7JTFF4MHKKMP6

not attested not anchored not stored refs pending

Optimization of Energy Harvesting MISO Communication System with Feedback

David Gesbert, Deniz G\"und\"uz, Rajeev Gangula

arxiv:1501.01858 v1 · 2015-01-08 · 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{ZQBBGQZM4UBSD7JTFF4MHKKMP6}

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	2026-05-18T02:29:46.223997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc0213432ce50321fd332978c3a94c7fab8e8c464bd0ab84d036bfc72018c896

Aliases

arxiv: 1501.01858 · arxiv_version: 1501.01858v1 · doi: 10.48550/arxiv.1501.01858 · pith_short_12: ZQBBGQZM4UBS · pith_short_16: ZQBBGQZM4UBSD7JT · pith_short_8: ZQBBGQZM

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/ZQBBGQZM4UBSD7JTFF4MHKKMP6 \
  | 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: cc0213432ce50321fd332978c3a94c7fab8e8c464bd0ab84d036bfc72018c896

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe5a4b4d0166b20222230852a7ab8130cd94054374b6a43f6f53233ae8ab3e5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-08T14:15:27Z",
    "title_canon_sha256": "a56c94409074ab6d0a15b20d54180be63f200b6220712eed51996bf9e954bca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01858",
    "kind": "arxiv",
    "version": 1
  }
}