Pith Number

pith:ZI2237ZX

pith:2016:ZI2237ZXGJ354SOMM6KPL7AZAF

not attested not anchored not stored refs pending

Optimal Energy Allocation For Delay-Constrained Traffic Over Fading Multiple Access Channels

Amr El-Keyi, Antonious M. Girgis, Mohammed Nafie

arxiv:1607.00711 v2 · 2016-07-04 · 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{ZI2237ZXGJ354SOMM6KPL7AZAF}

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	2026-05-18T00:51:03.159045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca35adff373277de49cc6794f5fc190157762c41f79d5684f1998b1a9ac3c8c9

Aliases

arxiv: 1607.00711 · arxiv_version: 1607.00711v2 · doi: 10.48550/arxiv.1607.00711 · pith_short_12: ZI2237ZXGJ35 · pith_short_16: ZI2237ZXGJ354SOM · pith_short_8: ZI2237ZX

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/ZI2237ZXGJ354SOMM6KPL7AZAF \
  | 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: ca35adff373277de49cc6794f5fc190157762c41f79d5684f1998b1a9ac3c8c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c026aba5196d6d1fee3deb0b2eed27e15717e42303cbc2e7e0b3c41e9994b4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-04T00:52:21Z",
    "title_canon_sha256": "f822192fd07e30b618c1185a9a3fd607d4614c9fac52554cdbb060155176a81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00711",
    "kind": "arxiv",
    "version": 2
  }
}