Pith Number

pith:WW7WOENX

pith:2012:WW7WOENXRN3BK372TVT3EAK5AK

not attested not anchored not stored refs pending

Secondary Resource Allocation for Opportunistic Spectrum Sharing with IR-HARQ based Primary Users

Charly Poulliat, Inbar Fijalkow, Romain Tajan

arxiv:1212.2752 v2 · 2012-12-12 · 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{WW7WOENXRN3BK372TVT3EAK5AK}

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	2026-05-18T03:20:09.434810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bf6711b78b76156ffa9d67b2015d0292cffa121f06dfea35c0827fa38192e7

Aliases

arxiv: 1212.2752 · arxiv_version: 1212.2752v2 · doi: 10.48550/arxiv.1212.2752 · pith_short_12: WW7WOENXRN3B · pith_short_16: WW7WOENXRN3BK372 · pith_short_8: WW7WOENX

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/WW7WOENXRN3BK372TVT3EAK5AK \
  | 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: b5bf6711b78b76156ffa9d67b2015d0292cffa121f06dfea35c0827fa38192e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e56bd480d2397941b73ee0bbd841a5aebe37c2db646bf70be9992730dfa1e035",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-12T09:59:03Z",
    "title_canon_sha256": "f4c0e28969ed34d2ed9398df214a71d1a33b1537cedb9138863ac899f49a1ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2752",
    "kind": "arxiv",
    "version": 2
  }
}