Pith Number

pith:M2ATN2PH

pith:2013:M2ATN2PHZAUWASDWMDELS2UEG7

not attested not anchored not stored refs pending

Resource Optimization in Device-to-Device Cellular Systems Using Time-Frequency Hopping

Constantine Caramanis, Jeffrey G. Andrews, Mazin Al-Shalash, Qiaoyang Ye

arxiv:1309.4062 v3 · 2013-09-16 · 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{M2ATN2PHZAUWASDWMDELS2UEG7}

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	2026-05-18T02:52:32.283067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

668136e9e7c82960487660c8b96a8437c983d8d9f8da1e988afc3c020e4fe5c3

Aliases

arxiv: 1309.4062 · arxiv_version: 1309.4062v3 · doi: 10.48550/arxiv.1309.4062 · pith_short_12: M2ATN2PHZAUW · pith_short_16: M2ATN2PHZAUWASDW · pith_short_8: M2ATN2PH

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/M2ATN2PHZAUWASDWMDELS2UEG7 \
  | 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: 668136e9e7c82960487660c8b96a8437c983d8d9f8da1e988afc3c020e4fe5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec55eea20a7c2337e2673fd6ea6822910aac9b08f2bd736998bff2625474b46",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-09-16T18:35:04Z",
    "title_canon_sha256": "c4f5f4802e96fe5be82dd60b404bff18f2460cebc4b9274381480068906700ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4062",
    "kind": "arxiv",
    "version": 3
  }
}