Pith Number

pith:3FPCGCQH

pith:2016:3FPCGCQHSVGYZFPUYF3FKIRCZI

not attested not anchored not stored refs pending

Delay Analysis and Optimization in Cache-enabled Multi-Cell Cooperative Networks

Hui Liu, Yaping Sun, Zhiyong Chen

arxiv:1605.00769 v1 · 2016-05-03 · 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{3FPCGCQHSVGYZFPUYF3FKIRCZI}

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	2026-05-18T01:15:48.134145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95e230a07954d8c95f4c176552222ca3d7bc3bb633e86191b874bdc6c88692c

Aliases

arxiv: 1605.00769 · arxiv_version: 1605.00769v1 · doi: 10.48550/arxiv.1605.00769 · pith_short_12: 3FPCGCQHSVGY · pith_short_16: 3FPCGCQHSVGYZFPU · pith_short_8: 3FPCGCQH

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/3FPCGCQHSVGYZFPUYF3FKIRCZI \
  | 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: d95e230a07954d8c95f4c176552222ca3d7bc3bb633e86191b874bdc6c88692c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6cf0067ec4066f0f1934fb4fffc154dfc2181f5ef2f70ba09dea8d3a1e08b30",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-05-03T07:44:42Z",
    "title_canon_sha256": "f286a2ada1abab523138190eecea6b5f187c60782c7a90022e666ff33e8b7ff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00769",
    "kind": "arxiv",
    "version": 1
  }
}