Pith Number

pith:4UNXJZNP

pith:2011:4UNXJZNPS5ASICROZPF5STJRDD

not attested not anchored not stored refs pending

Resource Allocation with Subcarrier Pairing in OFDMA Two-Way Relay Networks

Hao Zhang, Meixia Tao, Yuan Liu

arxiv:1201.0081 v1 · 2011-12-30 · 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{4UNXJZNPS5ASICROZPF5STJRDD}

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	2026-05-18T04:05:26.295644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51b74e5af9741240a2ecbcbd94d3118c02ea7eed38fc2998e9978b17f9bcf6a

Aliases

arxiv: 1201.0081 · arxiv_version: 1201.0081v1 · doi: 10.48550/arxiv.1201.0081 · pith_short_12: 4UNXJZNPS5AS · pith_short_16: 4UNXJZNPS5ASICRO · pith_short_8: 4UNXJZNP

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/4UNXJZNPS5ASICROZPF5STJRDD \
  | 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: e51b74e5af9741240a2ecbcbd94d3118c02ea7eed38fc2998e9978b17f9bcf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b408a6d5b2e648b9c2598dae126dcdb2504abcee9b0d9887e525c56f10cbe28f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-30T08:49:17Z",
    "title_canon_sha256": "fe119529220ef900949392db41e2286c9b135144e0ddae6cefb2ae61e2299a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0081",
    "kind": "arxiv",
    "version": 1
  }
}