Pith Number

pith:KXL3QZJS

pith:2015:KXL3QZJSSU3NFHVJTV7D2NBCQU

not attested not anchored not stored refs pending

Content-Centric Sparse Multicast Beamforming for Cache-Enabled Cloud RAN

Erkai Chen, Hao Zhou, Meixia Tao, Wei Yu

arxiv:1512.06938 v2 · 2015-12-22 · 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{KXL3QZJSSU3NFHVJTV7D2NBCQU}

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	2026-05-18T00:58:34.374091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d7b865329536d29ea99d7e3d34228527c65dcc8c1bc0b493895f5b3250b6d9

Aliases

arxiv: 1512.06938 · arxiv_version: 1512.06938v2 · doi: 10.48550/arxiv.1512.06938 · pith_short_12: KXL3QZJSSU3N · pith_short_16: KXL3QZJSSU3NFHVJ · pith_short_8: KXL3QZJS

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/KXL3QZJSSU3NFHVJTV7D2NBCQU \
  | 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: 55d7b865329536d29ea99d7e3d34228527c65dcc8c1bc0b493895f5b3250b6d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db4051f15c95fe57895cb422db4f37b11fe5ef9d1740bf965497733dbb88022",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-22T02:59:56Z",
    "title_canon_sha256": "aca8c4c24f8187bed8439fa0ade8806193d47a0fd668472499c20c103f80d2dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06938",
    "kind": "arxiv",
    "version": 2
  }
}