Pith Number

pith:FPICQSEM

pith:2011:FPICQSEMPLF3ANKSWYK2VCAYZA

not attested not anchored not stored refs pending

Self-Optimized OFDMA via Multiple Stackelberg Leader Equilibrium

Jianjun Hou, Jie Ren, Kai-Kit Wong

arxiv:1108.4723 v1 · 2011-08-23 · cs.IT · cs.GT · math.IT · math.OC · nlin.AO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPICQSEMPLF3ANKSWYK2VCAYZA}

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	2026-05-18T04:14:46.891182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd028488c7acbb03552b615aa8818c8146832d7336967695cf04ff4760cf4d6

Aliases

arxiv: 1108.4723 · arxiv_version: 1108.4723v1 · doi: 10.48550/arxiv.1108.4723 · pith_short_12: FPICQSEMPLF3 · pith_short_16: FPICQSEMPLF3ANKS · pith_short_8: FPICQSEM

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/FPICQSEMPLF3ANKSWYK2VCAYZA \
  | 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: 2bd028488c7acbb03552b615aa8818c8146832d7336967695cf04ff4760cf4d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9011b77b5439b47e23f6aa792a6985281641d1a9b05234235cc4e063823407ee",
    "cross_cats_sorted": [
      "cs.GT",
      "math.IT",
      "math.OC",
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-08-23T23:55:25Z",
    "title_canon_sha256": "bfca35f18d3d444a5a0164d86792f5c06aceb143ec4f2f363a755dbb78a531f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4723",
    "kind": "arxiv",
    "version": 1
  }
}