Pith Number

pith:FNXAUXQG

pith:2016:FNXAUXQGK3ETT2GRKURX4JKZPU

not attested not anchored not stored refs pending

Spectrum and Infrastructure Sharing in Millimeter Wave Cellular Networks: An Economic Perspective

Elza Erkip, Fraida Fund, Shahram Shahsavari, Shivendra S. Panwar, Sundeep Rangan

arxiv:1605.04602 v1 · 2016-05-15 · cs.NI · 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{FNXAUXQGK3ETT2GRKURX4JKZPU}

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	2026-05-18T01:14:46.745553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6e0a5e0656c939e8d155237e25597d09048a8917c1fd85115a66c9e04bf054

Aliases

arxiv: 1605.04602 · arxiv_version: 1605.04602v1 · doi: 10.48550/arxiv.1605.04602 · pith_short_12: FNXAUXQGK3ET · pith_short_16: FNXAUXQGK3ETT2GR · pith_short_8: FNXAUXQG

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/FNXAUXQGK3ETT2GRKURX4JKZPU \
  | 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: 2b6e0a5e0656c939e8d155237e25597d09048a8917c1fd85115a66c9e04bf054

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a1513d6bf3b2cd54b45c09d3402906f9f96a52413e07f5de9e152d1bde50ad",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NI",
    "submitted_at": "2016-05-15T20:06:57Z",
    "title_canon_sha256": "a5273a45b0f782555e91323dd6e2ce41df486bed030e7f0208b6e32591ddecb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04602",
    "kind": "arxiv",
    "version": 1
  }
}