Pith Number

pith:YIWODRQQ

pith:2016:YIWODRQQFAX37KWSG7A7ZCZXHT

not attested not anchored not stored refs pending

Joint Energy-Bandwidth Allocation for Multi-User Channels with Cooperating Hybrid Energy Nodes

Anis Elgabli, Mark R. Bell, Shan Zhong, Vaneet Aggarwal, Xiaodong Wang

arxiv:1611.05225 v2 · 2016-11-16 · 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{YIWODRQQFAX37KWSG7A7ZCZXHT}

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	2026-05-18T00:38:41.942020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22ce1c610282fbfaad237c1fc8b373cc26cdfcdf2e70d8b4feef39c0395879b

Aliases

arxiv: 1611.05225 · arxiv_version: 1611.05225v2 · doi: 10.48550/arxiv.1611.05225 · pith_short_12: YIWODRQQFAX3 · pith_short_16: YIWODRQQFAX37KWS · pith_short_8: YIWODRQQ

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/YIWODRQQFAX37KWSG7A7ZCZXHT \
  | 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: c22ce1c610282fbfaad237c1fc8b373cc26cdfcdf2e70d8b4feef39c0395879b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6a4759fc4a4c4b11f003f9a89ee60e9337443469304cfac26a2d1842cba681c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-16T11:21:16Z",
    "title_canon_sha256": "1d2dfc1ea69497eb536c8f4a4ec3ef96361e25e8093fc777d8598a1ce26d039e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05225",
    "kind": "arxiv",
    "version": 2
  }
}