Pith Number

pith:MMKT2X7U

pith:2013:MMKT2X7UABVNOMQBEAWJWPPTBL

not attested not anchored not stored refs pending

Joint Resource Partitioning and Offloading in Heterogeneous Cellular Networks

Jeffrey G. Andrews, Sarabjot Singh

arxiv:1303.7039 v2 · 2013-03-28 · 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{MMKT2X7UABVNOMQBEAWJWPPTBL}

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	2026-05-18T03:15:32.213424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63153d5ff4006ad73201202c9b3df30ac0fef722647e0c13f23a466adfde8282

Aliases

arxiv: 1303.7039 · arxiv_version: 1303.7039v2 · doi: 10.48550/arxiv.1303.7039 · pith_short_12: MMKT2X7UABVN · pith_short_16: MMKT2X7UABVNOMQB · pith_short_8: MMKT2X7U

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/MMKT2X7UABVNOMQBEAWJWPPTBL \
  | 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: 63153d5ff4006ad73201202c9b3df30ac0fef722647e0c13f23a466adfde8282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42eb4e788dabdc09226ae21f5c9a64a0d84246b8b052b8b8fee8fcfda4e32ecb",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-28T04:54:35Z",
    "title_canon_sha256": "486515d8b2fd22762d5c5a47f11f76c1b56a48db69fe88c4f75e9b7335781446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7039",
    "kind": "arxiv",
    "version": 2
  }
}