Pith Number

pith:OESAYJAK

pith:2016:OESAYJAKJ6MBNTCUBLMXYFZEEB

not attested not anchored not stored refs pending

Distributed Optimization of Hierarchical Small Cell Networks: A GNEP Framework

Jiaheng Wang, Robert Schober, Wei Guan, Xiaohu You, Yongming Huang

arxiv:1612.06271 v1 · 2016-12-19 · 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{OESAYJAKJ6MBNTCUBLMXYFZEEB}

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	2026-05-18T00:54:42.611380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71240c240a4f9816cc540ad97c1724205cf564040b1d6de0fd864a09c4c1531b

Aliases

arxiv: 1612.06271 · arxiv_version: 1612.06271v1 · doi: 10.48550/arxiv.1612.06271 · pith_short_12: OESAYJAKJ6MB · pith_short_16: OESAYJAKJ6MBNTCU · pith_short_8: OESAYJAK

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/OESAYJAKJ6MBNTCUBLMXYFZEEB \
  | 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: 71240c240a4f9816cc540ad97c1724205cf564040b1d6de0fd864a09c4c1531b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f35b8f3f598a3c9d592fc6b229f4ac6ba2b176e2f6dcc151115f75481df7b7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-19T17:19:37Z",
    "title_canon_sha256": "e77e197efbed94c569b51a615da3ef76d761ae413b7457882109ae1fe5162cc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06271",
    "kind": "arxiv",
    "version": 1
  }
}