Pith Number

pith:ZPV2DX3A

pith:2016:ZPV2DX3AJP4FU5P2SG7AC5NEAR

not attested not anchored not stored refs pending

An Upper Bound on the Sum Capacity of the Downlink Multicell Processing with Finite Backhaul Capacity

Nan Liu, Shlomo Shamai, Tianyu Yang, Wei Kang

arxiv:1609.00833 v1 · 2016-09-03 · 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{ZPV2DX3AJP4FU5P2SG7AC5NEAR}

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	2026-05-18T01:06:19.833765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbeba1df604bf85a75fa91be0175a40479122b3174c7cd6df501d67d136b078d

Aliases

arxiv: 1609.00833 · arxiv_version: 1609.00833v1 · doi: 10.48550/arxiv.1609.00833 · pith_short_12: ZPV2DX3AJP4F · pith_short_16: ZPV2DX3AJP4FU5P2 · pith_short_8: ZPV2DX3A

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/ZPV2DX3AJP4FU5P2SG7AC5NEAR \
  | 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: cbeba1df604bf85a75fa91be0175a40479122b3174c7cd6df501d67d136b078d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12aaca98c46c85ff43a6c349db41d2363cb68d4c1772c83f709795927890cd71",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-03T14:52:21Z",
    "title_canon_sha256": "63923d6723a61b4e0c05be7640b73d97f7d3e4bb28fa0868eb0d6b69dc26a099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00833",
    "kind": "arxiv",
    "version": 1
  }
}