Pith Number

pith:VWKYPE2W

pith:2015:VWKYPE2WFBZFSO4KNZM6JIXUZA

not attested not anchored not stored refs pending

Tractable Resource Management with Uplink Decoupled Millimeter-Wave Overlay in Ultra-Dense Cellular Networks

Jens Zander, Jihong Park, Seong-Lyun Kim

arxiv:1507.08979 v2 · 2015-07-31 · cs.IT · cs.NI · 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{VWKYPE2WFBZFSO4KNZM6JIXUZA}

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	2026-05-18T00:58:57.972446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad958793562872593b8a6e59e4a2f4c80bc35cf0b6124fd94cef6405a2bc81bf

Aliases

arxiv: 1507.08979 · arxiv_version: 1507.08979v2 · doi: 10.48550/arxiv.1507.08979 · pith_short_12: VWKYPE2WFBZF · pith_short_16: VWKYPE2WFBZFSO4K · pith_short_8: VWKYPE2W

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/VWKYPE2WFBZFSO4KNZM6JIXUZA \
  | 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: ad958793562872593b8a6e59e4a2f4c80bc35cf0b6124fd94cef6405a2bc81bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "513af846a7e0972b5cdbc0d390f199badd15616684a4e46587aa84b6c09048d8",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-07-31T19:19:29Z",
    "title_canon_sha256": "7c6830c28e69660aca6f2c98472961cb25fc61b8a6bbadf223de4a1c7b0410c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08979",
    "kind": "arxiv",
    "version": 2
  }
}