Pith Number

pith:ADAFPWQ5

pith:2016:ADAFPWQ5MTJ6JZ5LOQ4GKQR26D

not attested not anchored not stored refs pending

Quadrature Amplitude Modulation Division for Multiuser MISO Broadcast Channels

Jian-Kang Zhang, Xiang-Chuan Gao, Yan-Yu Zhang, Zheng Dong

arxiv:1609.02107 v1 · 2016-09-07 · 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{ADAFPWQ5MTJ6JZ5LOQ4GKQR26D}

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	2026-05-18T00:54:34.151438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00c057da1d64d3e4e7ab743865423af0f16196ac5f4e87ce4cdd0f5a4f3dabfd

Aliases

arxiv: 1609.02107 · arxiv_version: 1609.02107v1 · doi: 10.48550/arxiv.1609.02107 · pith_short_12: ADAFPWQ5MTJ6 · pith_short_16: ADAFPWQ5MTJ6JZ5L · pith_short_8: ADAFPWQ5

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/ADAFPWQ5MTJ6JZ5LOQ4GKQR26D \
  | 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: 00c057da1d64d3e4e7ab743865423af0f16196ac5f4e87ce4cdd0f5a4f3dabfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b276230d9e9828f87139379386ab7e7f8c9fc1fa9e4920ba95252c9c8eb6a8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-07T18:45:47Z",
    "title_canon_sha256": "cccc3228b4deee9c959521b34f988ddf38b6cd3b972c6ba91a5627ffd61d8ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02107",
    "kind": "arxiv",
    "version": 1
  }
}