Pith Number

pith:SOGPGJ2O

pith:2019:SOGPGJ2O5EVE3Q4THML6XAOPUY

not attested not anchored not stored refs pending

Modeling, Analysis, and Optimization of Caching in Multi-Antenna Small-Cell Networks

Meixia Tao, Xianzhe Xu

arxiv:1908.06595 v1 · 2019-08-19 · 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{SOGPGJ2O5EVE3Q4THML6XAOPUY}

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	2026-07-04T23:58:17.588933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938cf3274ee92a4dc3933b17eb81cfa60af4e30ca5cb69d2dca91292d4c5965e

Aliases

arxiv: 1908.06595 · arxiv_version: 1908.06595v1 · doi: 10.48550/arxiv.1908.06595 · pith_short_12: SOGPGJ2O5EVE · pith_short_16: SOGPGJ2O5EVE3Q4T · pith_short_8: SOGPGJ2O

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/SOGPGJ2O5EVE3Q4THML6XAOPUY \
  | 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: 938cf3274ee92a4dc3933b17eb81cfa60af4e30ca5cb69d2dca91292d4c5965e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf5d43baf6e0d619a49b2ef9a5e0cf223213e335cfed2bd769aa1506c929edd",
    "cross_cats_sorted": [
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-08-19T05:09:39Z",
    "title_canon_sha256": "c073fb24945946e6200f0e97acfe1dc1a318be1fedd068ec405ec4192210afa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06595",
    "kind": "arxiv",
    "version": 1
  }
}