Pith Number

pith:L6HDYDL6

pith:2016:L6HDYDL6I3LJ32SYVHKKTDCIPK

not attested not anchored not stored refs pending

Embedding LTE-U within Wi-Fi Bands for Spectrum Efficiency Improvement

Guanding Yu, Hesham M. Elmaghraby, Jyri Hamalainen, Qimei Chen, Zhi Ding

arxiv:1607.04729 v1 · 2016-07-16 · 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{L6HDYDL6I3LJ32SYVHKKTDCIPK}

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	2026-05-18T01:10:56.898640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8e3c0d7e46d69dea58a9d4a98c487aa4b324469b7349ef8b6bb99a6d4b5702

Aliases

arxiv: 1607.04729 · arxiv_version: 1607.04729v1 · doi: 10.48550/arxiv.1607.04729 · pith_short_12: L6HDYDL6I3LJ · pith_short_16: L6HDYDL6I3LJ32SY · pith_short_8: L6HDYDL6

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/L6HDYDL6I3LJ32SYVHKKTDCIPK \
  | 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: 5f8e3c0d7e46d69dea58a9d4a98c487aa4b324469b7349ef8b6bb99a6d4b5702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90a873571b65209702652b75d3de11f2e6cacb5af2e9d104bae3ecfaa6d78dcd",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-16T11:46:06Z",
    "title_canon_sha256": "91cfd18d6641d8af08fe597e1d03a2ba8425d7981f4ebf346549bf6debd4f573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04729",
    "kind": "arxiv",
    "version": 1
  }
}