Pith Number

pith:X4B2TS62

pith:2012:X4B2TS62JKSBWPX7J27CV5HAUY

not attested not anchored not stored refs pending

Energy-Efficient Nonstationary Spectrum Sharing

Mihaela van der Schaar, Yuanzhang Xiao

arxiv:1211.4174 v3 · 2012-11-17 · cs.IT · cs.GT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4B2TS62JKSBWPX7J27CV5HAUY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:02:47.130289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf03a9cbda4aa41b3eff4ebe2af4e0a62f44b85bde9bd71e5a3ba65424d41f04

Aliases

arxiv: 1211.4174 · arxiv_version: 1211.4174v3 · doi: 10.48550/arxiv.1211.4174 · pith_short_12: X4B2TS62JKSB · pith_short_16: X4B2TS62JKSBWPX7 · pith_short_8: X4B2TS62

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/X4B2TS62JKSBWPX7J27CV5HAUY \
  | 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: bf03a9cbda4aa41b3eff4ebe2af4e0a62f44b85bde9bd71e5a3ba65424d41f04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6e949a19b43d9526763b161ab40c058f119daa3dcebbf3e217beb55736d1ea",
    "cross_cats_sorted": [
      "cs.GT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-11-17T23:40:24Z",
    "title_canon_sha256": "3b29c09d68537f21fb531e7f90709780f55055743b9113deb371a9418122c1fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4174",
    "kind": "arxiv",
    "version": 3
  }
}