Pith Number

pith:VFVZMKQF

pith:2013:VFVZMKQFLAMDAI3XGV35H5TGZ5

not attested not anchored not stored refs pending

Improved Dual Decomposition Based Optimization for DSL Dynamic Spectrum Management

Ion Necoara, Johan A. K. Suykens, Marc Moonen, Paschalis Tsiaflakis

arxiv:1302.3146 v1 · 2013-02-13 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFVZMKQFLAMDAI3XGV35H5TGZ5}

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	2026-05-18T00:59:04.444934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96b962a0558183023773577d3f666cf47e1e0cce5ce0ae8247948812d268189

Aliases

arxiv: 1302.3146 · arxiv_version: 1302.3146v1 · doi: 10.48550/arxiv.1302.3146 · pith_short_12: VFVZMKQFLAMD · pith_short_16: VFVZMKQFLAMDAI3X · pith_short_8: VFVZMKQF

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/VFVZMKQFLAMDAI3XGV35H5TGZ5 \
  | 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: a96b962a0558183023773577d3f666cf47e1e0cce5ce0ae8247948812d268189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073e3d9fff3453da7fed017adbe4e3efb6f6abbc060e9d943c177668b14010ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-02-13T15:49:35Z",
    "title_canon_sha256": "95e5ae281df21942c1080fb16927c072a315e42ddfe3af2dec6c86d8c706311b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3146",
    "kind": "arxiv",
    "version": 1
  }
}