Pith Number

pith:XWRWRQ64

pith:2015:XWRWRQ64E2EACFKELSGAPCOKRV

not attested not anchored not stored refs pending

On the Limits of Predictability in Real-World Radio Spectrum State Dynamics: From Entropy Theory to 5G Spectrum Sharing

Guoru Ding, Honggang Zhang, Jinlong Wang, Qihui Wu, Rongpeng Li, Yu-Dong Yao, Yulong Zou

arxiv:1508.05348 v1 · 2015-05-23 · cs.NI · 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{XWRWRQ64E2EACFKELSGAPCOKRV}

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	2026-05-18T00:58:35.139086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda368c3dc26880115445c8c0789ca8d543631e454bb796cbc123fe86e1eadd9

Aliases

arxiv: 1508.05348 · arxiv_version: 1508.05348v1 · doi: 10.48550/arxiv.1508.05348 · pith_short_12: XWRWRQ64E2EA · pith_short_16: XWRWRQ64E2EACFKE · pith_short_8: XWRWRQ64

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/XWRWRQ64E2EACFKELSGAPCOKRV \
  | 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: bda368c3dc26880115445c8c0789ca8d543631e454bb796cbc123fe86e1eadd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13fed84bce6bb21f74a41f4939479c29e0bdb24108efafc61340b467833fc202",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2015-05-23T05:40:32Z",
    "title_canon_sha256": "3ab6797a2c049a640b52d2c0305d4371cefe865f59fd40f9d5ac6e4e932eefa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05348",
    "kind": "arxiv",
    "version": 1
  }
}