Pith Number

pith:K2PA6Y2Z

pith:2016:K2PA6Y2ZY422JRC5EU2Z6BZUTM

not attested not anchored not stored refs pending

Caching Policy Toward Maximal Success Probability and Area Spectral Efficiency of Cache-enabled HetNets

Chenyang Yang, Dong Liu

arxiv:1608.03749 v2 · 2016-08-12 · 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{K2PA6Y2ZY422JRC5EU2Z6BZUTM}

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	2026-05-18T00:45:26.028333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569e0f6359c735a4c45d25359f07349b18e2e000fc30857f73768c5a9800302b

Aliases

arxiv: 1608.03749 · arxiv_version: 1608.03749v2 · doi: 10.48550/arxiv.1608.03749 · pith_short_12: K2PA6Y2ZY422 · pith_short_16: K2PA6Y2ZY422JRC5 · pith_short_8: K2PA6Y2Z

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/K2PA6Y2ZY422JRC5EU2Z6BZUTM \
  | 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: 569e0f6359c735a4c45d25359f07349b18e2e000fc30857f73768c5a9800302b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54a4bf6672b903dac57fb6c649b0e15ef0230e3e8633d9c4e2ec66daddb7cb1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-12T11:06:46Z",
    "title_canon_sha256": "b98860969be6c06e1f99b0fc9fc3cf600e2c96804125fa8cba7202fd28d498f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03749",
    "kind": "arxiv",
    "version": 2
  }
}