Pith Number

pith:4567SEQ2

pith:2017:4567SEQ2XXHZW3NZT2OF4XAWPV

not attested not anchored not stored refs pending

Optimal Transmit Beamforming for Secure SWIPT in Heterogeneous Networks

Bin Li, Zesong Fei, Zheng Chu

arxiv:1707.07151 v1 · 2017-07-22 · 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{4567SEQ2XXHZW3NZT2OF4XAWPV}

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	2026-05-18T00:39:45.226959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e77df9121abdcf9b6db99e9c5e5c167d52b5102909177b5181d2e085af313dd3

Aliases

arxiv: 1707.07151 · arxiv_version: 1707.07151v1 · doi: 10.48550/arxiv.1707.07151 · pith_short_12: 4567SEQ2XXHZ · pith_short_16: 4567SEQ2XXHZW3NZ · pith_short_8: 4567SEQ2

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/4567SEQ2XXHZW3NZT2OF4XAWPV \
  | 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: e77df9121abdcf9b6db99e9c5e5c167d52b5102909177b5181d2e085af313dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca57f21f2feea368f55bb1f46cbb46b1f5c32e817cd0b2b23ed7ce47292198f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-07-22T12:16:15Z",
    "title_canon_sha256": "0815b20352c4ac0cab64da0865f33739d18c3c19855adbe7739220522414d040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07151",
    "kind": "arxiv",
    "version": 1
  }
}