Pith Number

pith:4NP4TEEG

pith:2020:4NP4TEEGUL5AHY3ZXPTA6GXRFI

not attested not anchored not stored refs pending

A Stackelberg Game Approach to Resource Allocation for IRS-aided Communications

Chao Yong, Dusit Niyato, Jun Zhao, Yue Xiao, Yulan Gao, Zehui Xiong

arxiv:2012.08989 v1 · 2020-12-16 · 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{4NP4TEEGUL5AHY3ZXPTA6GXRFI}

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	2026-07-05T02:00:05.649192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35fc99086a2fa03e379bbe60f1af12a3d94088df78c0619554d489e7442b9d5

Aliases

arxiv: 2012.08989 · arxiv_version: 2012.08989v1 · doi: 10.48550/arxiv.2012.08989 · pith_short_12: 4NP4TEEGUL5A · pith_short_16: 4NP4TEEGUL5AHY3Z · pith_short_8: 4NP4TEEG

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/4NP4TEEGUL5AHY3ZXPTA6GXRFI \
  | 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: e35fc99086a2fa03e379bbe60f1af12a3d94088df78c0619554d489e7442b9d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0abacb5550a9b9bb4edc3a1fbcbaaf8e0548916c17cc78d6e4e9363f5a8d9055",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-12-16T14:35:45Z",
    "title_canon_sha256": "b8f75b2c21c4f9abb5c031a57e9b26cc384bb963dcf6d3182780943354a9f162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.08989",
    "kind": "arxiv",
    "version": 1
  }
}