Pith Number

pith:YXL3442T

pith:2007:YXL3442T7QYPUMP2S42MW7NPXM

not attested not anchored not stored refs pending

Energy-Efficient Resource Allocation in Wireless Networks: An Overview of Game-Theoretic Approaches

Farhad Meshkati, H. Vincent Poor, Stuart C. Schwartz

arxiv:0705.1787 v1 · 2007-05-13 · cs.IT · cs.GT · 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{YXL3442T7QYPUMP2S42MW7NPXM}

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	2026-05-18T00:58:02.398128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d7be7353fc30fa31fa9734cb7dafbb3eac8614cc70c5f612d288334f265b8b

Aliases

arxiv: 0705.1787 · arxiv_version: 0705.1787v1 · doi: 10.48550/arxiv.0705.1787 · pith_short_12: YXL3442T7QYP · pith_short_16: YXL3442T7QYPUMP2 · pith_short_8: YXL3442T

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/YXL3442T7QYPUMP2S42MW7NPXM \
  | 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: c5d7be7353fc30fa31fa9734cb7dafbb3eac8614cc70c5f612d288334f265b8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d647a02541eb05340aa0bb65787954ff599a0ac9955e4de780ff4be92605f26",
    "cross_cats_sorted": [
      "cs.GT",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-05-13T17:22:29Z",
    "title_canon_sha256": "5baa3b451dcc64b603bc4b84b597392a1f484f983fac326938d8a4bd944a037f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1787",
    "kind": "arxiv",
    "version": 1
  }
}