Pith Number

pith:JUZ7QNYX

pith:2012:JUZ7QNYX2TDS7TH765SUCBGEAX

not attested not anchored not stored refs pending

On the SCALE Algorithm for Multiuser Multicarrier Power Spectrum Management

Luc Vandendorpe, Tao Wang

arxiv:1210.1013 v1 · 2012-10-03 · 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{JUZ7QNYX2TDS7TH765SUCBGEAX}

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	2026-05-18T03:44:13.077133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d33f83717d4c72fccfff7654104c405c35d0178dd6fb8947fd861aecb8f4cec

Aliases

arxiv: 1210.1013 · arxiv_version: 1210.1013v1 · doi: 10.48550/arxiv.1210.1013 · pith_short_12: JUZ7QNYX2TDS · pith_short_16: JUZ7QNYX2TDS7TH7 · pith_short_8: JUZ7QNYX

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/JUZ7QNYX2TDS7TH765SUCBGEAX \
  | 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: 4d33f83717d4c72fccfff7654104c405c35d0178dd6fb8947fd861aecb8f4cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa918734f8e98c5b93a3bdd62ccd149f1f43f9d59a3c26b04a1abd5f9e7125d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-10-03T07:48:23Z",
    "title_canon_sha256": "bb571a20d6bb089e916f1a19d245ac6b77c90e306929b0354bcd20758318ccba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1013",
    "kind": "arxiv",
    "version": 1
  }
}