Pith Number

pith:ZCEOOVLC

pith:2015:ZCEOOVLCZ4BDUAIV4RM74QAHRJ

not attested not anchored not stored refs pending

Virtualization of 5G Cellular Networks as a Hierarchical Combinatorial Auction

Ekram Hossain, Kun Zhu

arxiv:1511.08256 v1 · 2015-11-26 · cs.GT · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCEOOVLCZ4BDUAIV4RM74QAHRJ}

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	2026-05-18T01:25:56.200403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c888e75562cf023a0115e459fe40078a7f1060afdd7b7207cf19fa57f9734a44

Aliases

arxiv: 1511.08256 · arxiv_version: 1511.08256v1 · doi: 10.48550/arxiv.1511.08256 · pith_short_12: ZCEOOVLCZ4BD · pith_short_16: ZCEOOVLCZ4BDUAIV · pith_short_8: ZCEOOVLC

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/ZCEOOVLCZ4BDUAIV4RM74QAHRJ \
  | 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: c888e75562cf023a0115e459fe40078a7f1060afdd7b7207cf19fa57f9734a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06fa0b52bb85cad9987a7e556577d779ce01321a46e9b65334e03d160e1de87e",
    "cross_cats_sorted": [
      "cs.NI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-11-26T00:14:11Z",
    "title_canon_sha256": "6263e741cc001d88791a30661c7cb887b59aecef612175a65e57043b9d0d79ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08256",
    "kind": "arxiv",
    "version": 1
  }
}