Pith Number

pith:BURLRJU2

pith:2015:BURLRJU2KXRQPPTD42IORHJCMG

not attested not anchored not stored refs pending

Hypergraph-Based Analysis of Clustered Cooperative Beamforming with Application to Edge Caching

Antonia M. Tulino, Bahar Azari, Osvaldo Simeone, Umberto Spagnolini

arxiv:1510.06222 v1 · 2015-10-21 · cs.IT · cs.NI · 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{BURLRJU2KXRQPPTD42IORHJCMG}

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	2026-05-18T01:29:37.458266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d22b8a69a55e307be63e690e89d2261bad867dd2256e3b6b896e0fa6453e9a9

Aliases

arxiv: 1510.06222 · arxiv_version: 1510.06222v1 · doi: 10.48550/arxiv.1510.06222 · pith_short_12: BURLRJU2KXRQ · pith_short_16: BURLRJU2KXRQPPTD · pith_short_8: BURLRJU2

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/BURLRJU2KXRQPPTD42IORHJCMG \
  | 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: 0d22b8a69a55e307be63e690e89d2261bad867dd2256e3b6b896e0fa6453e9a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ce910d89f77df69afb6850353d1ea26b2f0cd95a99c050fee09a9b4654502ac",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-21T12:02:59Z",
    "title_canon_sha256": "f1fb9f1ffb22161928542ab51a24a877ef88030644ec28aedb7d79b62c19affd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06222",
    "kind": "arxiv",
    "version": 1
  }
}