pith. sign in
Pith Number

pith:BIZFQMX7

pith:2015:BIZFQMX752IHIB7Q4GV3XJASQW
not attested not anchored not stored refs pending

Optimal Caching Placement for D2D Assisted Wireless Caching Networks

Bin Xia, Chenchen Yang, Hao Feng, Jun Rao, Zhiyong Chen

arxiv:1510.07865 v2 · 2015-10-27 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BIZFQMX752IHIB7Q4GV3XJASQW}

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 2026-05-18T01:28:06.667355Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0a325832ffee907407f0e1abbba41285be7a749fdd51aa0df8e29f4e385bddb1

Aliases

arxiv: 1510.07865 · arxiv_version: 1510.07865v2 · doi: 10.48550/arxiv.1510.07865 · pith_short_12: BIZFQMX752IH · pith_short_16: BIZFQMX752IHIB7Q · pith_short_8: BIZFQMX7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BIZFQMX752IHIB7Q4GV3XJASQW \
  | 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: 0a325832ffee907407f0e1abbba41285be7a749fdd51aa0df8e29f4e385bddb1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "95f42834dc42e9b566396d872b1ac7fedcf8540bf3dd8c65ad2e87e2eaeafa22",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-27T11:17:16Z",
    "title_canon_sha256": "ffad69d252dacb99b6cc7ae0b557581956025c6bd526fb57a16b07d3e13f9e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07865",
    "kind": "arxiv",
    "version": 2
  }
}