Pith Number

pith:X6HU7AFE

pith:2016:X6HU7AFEH2R2DPI3OX35HA2KGS

not attested not anchored not stored refs pending

On Spectrum and Infrastructure Sharing in Multi-Operator Cellular Networks

Konstantinos Samdanis, Marco Di Renzo, Shanshan Wang, Xavier Costa Perez

arxiv:1608.06168 v1 · 2016-08-22 · 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{X6HU7AFEH2R2DPI3OX35HA2KGS}

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	2026-05-18T01:08:22.082510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8f4f80a43ea3a1bd1b75f7d3834a349a5a47f4f516dac4fcad36e28dc08de8

Aliases

arxiv: 1608.06168 · arxiv_version: 1608.06168v1 · doi: 10.48550/arxiv.1608.06168 · pith_short_12: X6HU7AFEH2R2 · pith_short_16: X6HU7AFEH2R2DPI3 · pith_short_8: X6HU7AFE

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/X6HU7AFEH2R2DPI3OX35HA2KGS \
  | 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: bf8f4f80a43ea3a1bd1b75f7d3834a349a5a47f4f516dac4fcad36e28dc08de8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0eac6e0047b4e7bebfffa5ee6b1c6d9e36b37c263d329f57544a0c38a4fcfd9",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-08-22T13:54:57Z",
    "title_canon_sha256": "6ffa5d80093b407db1696bb5ffc23c9f7a58b26236a2e125f09886af694262a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06168",
    "kind": "arxiv",
    "version": 1
  }
}