Pith Number

pith:VWVSNIZN

pith:2013:VWVSNIZNAXEZTX4GZZH7AMFAMG

not attested not anchored not stored refs pending

On Coordinating Ultra-Dense Wireless Access Networks: Optimization Modeling, Algorithms and Insights

Angeliki Alexiou, Antonis G. Gotsis

arxiv:1312.1577 v1 · 2013-12-05 · 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{VWVSNIZNAXEZTX4GZZH7AMFAMG}

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	2026-05-18T03:05:26.843743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adab26a32d05c999df86ce4ff030a06186772ad2c792de5373b8ad37b2dc88dd

Aliases

arxiv: 1312.1577 · arxiv_version: 1312.1577v1 · doi: 10.48550/arxiv.1312.1577 · pith_short_12: VWVSNIZNAXEZ · pith_short_16: VWVSNIZNAXEZTX4G · pith_short_8: VWVSNIZN

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/VWVSNIZNAXEZTX4GZZH7AMFAMG \
  | 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: adab26a32d05c999df86ce4ff030a06186772ad2c792de5373b8ad37b2dc88dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6a9e22ff1815cc9a78b7fcc86b5bc89264f2bab98fdd6bf7d87f930c73a55df",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-05T15:22:34Z",
    "title_canon_sha256": "ecc54b02c411b9a8f04ddd65fc4089faef2f79099c7f6bedede9416f68932aec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1577",
    "kind": "arxiv",
    "version": 1
  }
}