Pith Number

pith:F4ZMVHAC

pith:2010:F4ZMVHACQXIBIYON4Z6RMGASTZ

not attested not anchored not stored refs pending

Optimization Framework and Graph-Based Approach for Relay-Assisted Bidirectional OFDMA Cellular Networks

Bin Li, Hui Shen, Meixia Tao, Yuan Liu

arxiv:1009.0425 v1 · 2010-09-02 · cs.IT · cs.NI · 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{F4ZMVHACQXIBIYON4Z6RMGASTZ}

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	2026-05-18T04:41:26.716030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f32ca9c0285d01461cde67d1618129e78f90bca586b8be015be87d74832a40d

Aliases

arxiv: 1009.0425 · arxiv_version: 1009.0425v1 · doi: 10.48550/arxiv.1009.0425 · pith_short_12: F4ZMVHACQXIB · pith_short_16: F4ZMVHACQXIBIYON · pith_short_8: F4ZMVHAC

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/F4ZMVHACQXIBIYON4Z6RMGASTZ \
  | 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: 2f32ca9c0285d01461cde67d1618129e78f90bca586b8be015be87d74832a40d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0eba27026ee560caf7e783d8e90ce4a01692146f012f411da6fb159c6f28ad4",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-09-02T13:45:49Z",
    "title_canon_sha256": "49413d725b289935df13c95c00ba53a9781c9c09092fdd56578f9c08b2603e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0425",
    "kind": "arxiv",
    "version": 1
  }
}