Pith Number

pith:7IIUZ7NB

pith:2017:7IIUZ7NB7IE72RNTHNYRYVXXZK

not attested not anchored not stored refs pending

Joint Altitude and Beamwidth Optimization for UAV-Enabled Multiuser Communications

Haiyun He, Rui Zhang, Shuowen Zhang, Yong Zeng

arxiv:1711.02343 v1 · 2017-11-07 · 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{7IIUZ7NB7IE72RNTHNYRYVXXZK}

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	2026-05-18T00:31:08.184812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa114cfda1fa09fd45b33b711c56f7ca9e4314fcbced7cb10f98765feb744504

Aliases

arxiv: 1711.02343 · arxiv_version: 1711.02343v1 · doi: 10.48550/arxiv.1711.02343 · pith_short_12: 7IIUZ7NB7IE7 · pith_short_16: 7IIUZ7NB7IE72RNT · pith_short_8: 7IIUZ7NB

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/7IIUZ7NB7IE72RNTHNYRYVXXZK \
  | 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: fa114cfda1fa09fd45b33b711c56f7ca9e4314fcbced7cb10f98765feb744504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50cf734c24c709bc8dad675a4294ba88353b78712a52818aacc22a1775cc250b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-11-07T09:04:37Z",
    "title_canon_sha256": "3dd1783f2e2498dae2dd684a611bc3fd7bac9d22957e3a6fb8989f7e266200b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02343",
    "kind": "arxiv",
    "version": 1
  }
}