Pith Number

pith:FPFMN4ID

pith:2017:FPFMN4IDDKFOYZAWKZKRYDEW7Y

not attested not anchored not stored refs pending

Joint resource allocation in SWIPT-based multi-antenna decode-and-forward relay networks

Yuan Liu

arxiv:1706.05633 v1 · 2017-06-18 · 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{FPFMN4IDDKFOYZAWKZKRYDEW7Y}

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	2026-05-18T00:42:09.337700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bcac6f1031a8aec641656551c0c96fe143d4bb101cfa909bec2a3efd6422b0a

Aliases

arxiv: 1706.05633 · arxiv_version: 1706.05633v1 · doi: 10.48550/arxiv.1706.05633 · pith_short_12: FPFMN4IDDKFO · pith_short_16: FPFMN4IDDKFOYZAW · pith_short_8: FPFMN4ID

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/FPFMN4IDDKFOYZAWKZKRYDEW7Y \
  | 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: 2bcac6f1031a8aec641656551c0c96fe143d4bb101cfa909bec2a3efd6422b0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5411423ce2bdd1f91da83115375a3566688c86926c06b95a3aa6513793f7e47",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-06-18T11:32:46Z",
    "title_canon_sha256": "ede125d9d454981275a4d0500e3bd8bb307de3a9cc81f8a0abc3defec38fbddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05633",
    "kind": "arxiv",
    "version": 1
  }
}