Pith Number

pith:ZK2JEGFN

pith:2014:ZK2JEGFNGUCSYA6TCN24T2BBDE

not attested not anchored not stored refs pending

Multiuser Joint Energy-Bandwidth Allocation with Energy Harvesting - Part II: Multiple Broadcast Channels & Proportional Fairness

Vaneet Aggarwal, Xiaodong Wang, Zhe Wang

arxiv:1410.2867 v1 · 2014-10-10 · 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{ZK2JEGFNGUCSYA6TCN24T2BBDE}

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	2026-05-18T02:40:36.948938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab49218ad35052c03d31375c9e8211934080a28cd5176a2eb18e39df7f5e42c

Aliases

arxiv: 1410.2867 · arxiv_version: 1410.2867v1 · doi: 10.48550/arxiv.1410.2867 · pith_short_12: ZK2JEGFNGUCS · pith_short_16: ZK2JEGFNGUCSYA6T · pith_short_8: ZK2JEGFN

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/ZK2JEGFNGUCSYA6TCN24T2BBDE \
  | 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: cab49218ad35052c03d31375c9e8211934080a28cd5176a2eb18e39df7f5e42c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be95801c767a4dd4e45939796b9197d4046f4cdb51bbbdf8a60f6c7ced11e590",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-10-10T18:53:18Z",
    "title_canon_sha256": "853c333b01114e8cd457d332afc7e4202f2f12be659e95281ad9d83cf00e066b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2867",
    "kind": "arxiv",
    "version": 1
  }
}