Pith Number

pith:7BDP3XF4

pith:2016:7BDP3XF44TGD63MKUUUIQ7OWMW

not attested not anchored not stored refs pending

Capacity and Delay Tradeoff of Secondary Cellular Networks with Spectrum Aggregation

Cheng-Xiang Wang, Chen Liu, Jianghong Shi, John Thompson, Lingyu Chen, Xuemin Hong

arxiv:1612.08778 v1 · 2016-12-28 · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7BDP3XF44TGD63MKUUUIQ7OWMW}

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	2026-05-18T00:53:47.185531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f846fddcbce4cc3f6d8aa528887dd66589bb7db45a42fada504023bf3e74d752

Aliases

arxiv: 1612.08778 · arxiv_version: 1612.08778v1 · doi: 10.48550/arxiv.1612.08778 · pith_short_12: 7BDP3XF44TGD · pith_short_16: 7BDP3XF44TGD63MK · pith_short_8: 7BDP3XF4

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/7BDP3XF44TGD63MKUUUIQ7OWMW \
  | 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: f846fddcbce4cc3f6d8aa528887dd66589bb7db45a42fada504023bf3e74d752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e72fcdeee178d294e655b3ec52fc0bb17ece907cd9a4c1f9db55f54f8ea61d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2016-12-28T01:00:30Z",
    "title_canon_sha256": "7a6e2d0869c8ff6a975aac06b57d99fd7dd41feefca41a857a0b5897c0fc0aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08778",
    "kind": "arxiv",
    "version": 1
  }
}