Pith Number

pith:4XEUMMDD

pith:2012:4XEUMMDDDMYNBIW7WEUWS3R7GZ

not attested not anchored not stored refs pending

Spectrum Leasing and Cooperative Resource Allocation in Cognitive OFDMA Networks

Meixia Tao, Yuan Liu

arxiv:1209.3105 v1 · 2012-09-14 · 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{4XEUMMDDDMYNBIW7WEUWS3R7GZ}

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	2026-05-18T03:45:32.810371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c94630631b30d0a2dfb129696e3f3651a1a8c5fae8562ab2a430a3f8834aab

Aliases

arxiv: 1209.3105 · arxiv_version: 1209.3105v1 · doi: 10.48550/arxiv.1209.3105 · pith_short_12: 4XEUMMDDDMYN · pith_short_16: 4XEUMMDDDMYNBIW7 · pith_short_8: 4XEUMMDD

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/4XEUMMDDDMYNBIW7WEUWS3R7GZ \
  | 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: e5c94630631b30d0a2dfb129696e3f3651a1a8c5fae8562ab2a430a3f8834aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac9bec30fdf604aeb1375f3bd6143d91dd7a36c039296fa649d58789fd1f380",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-09-14T06:45:58Z",
    "title_canon_sha256": "d6bcfa1a644343bef88162681f0025de1e2c61f85022b84ceed6d0f8354bdecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3105",
    "kind": "arxiv",
    "version": 1
  }
}