Pith Number

pith:2VRQKGM7

pith:2012:2VRQKGM7TMU5Y3RTP22Q4ZCPLS

not attested not anchored not stored refs pending

Power Allocation and Pricing in Multi-User Relay Networks Using Stackelberg and Bargaining Games

H. Vicky Zhao, Qian Cao, Yindi Jing

arxiv:1201.3056 v1 · 2012-01-15 · 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{2VRQKGM7TMU5Y3RTP22Q4ZCPLS}

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	2026-05-18T04:04:32.378840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56305199f9b29dc6e337eb50e644f5c8c8bccd79ce380665421d52fe36a8271

Aliases

arxiv: 1201.3056 · arxiv_version: 1201.3056v1 · doi: 10.48550/arxiv.1201.3056 · pith_short_12: 2VRQKGM7TMU5 · pith_short_16: 2VRQKGM7TMU5Y3RT · pith_short_8: 2VRQKGM7

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/2VRQKGM7TMU5Y3RTP22Q4ZCPLS \
  | 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: d56305199f9b29dc6e337eb50e644f5c8c8bccd79ce380665421d52fe36a8271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "273689e576c1ee4c2ff322cd7d85299796ad1547ee9ae2fe9a3d88f075508ccd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-15T00:38:51Z",
    "title_canon_sha256": "e480285f1c1a34aac1fb48a92faa67e1407abab2898e897f2de57d78066afa39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3056",
    "kind": "arxiv",
    "version": 1
  }
}