Pith Number

pith:XRFM6KML

pith:2016:XRFM6KMLJWVTYYPNEV6UBHW63R

not attested not anchored not stored refs pending

Mean-Field Games for Distributed Caching in Ultra-Dense Small Cell Networks

H. Vincent Poor, Kenza Hamidouche, M\'erouane Debbah, Walid Saad

arxiv:1603.07031 v1 · 2016-03-22 · 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{XRFM6KMLJWVTYYPNEV6UBHW63R}

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	2026-05-18T01:18:24.644735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc4acf298b4dab3c61ed257d409ededc7cd753cca074fc0831cef1befeca3f48

Aliases

arxiv: 1603.07031 · arxiv_version: 1603.07031v1 · doi: 10.48550/arxiv.1603.07031 · pith_short_12: XRFM6KMLJWVT · pith_short_16: XRFM6KMLJWVTYYPN · pith_short_8: XRFM6KML

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/XRFM6KMLJWVTYYPNEV6UBHW63R \
  | 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: bc4acf298b4dab3c61ed257d409ededc7cd753cca074fc0831cef1befeca3f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a2893907e73cb87cba79b1504d4ae74f046c1558aba8b9ad4d0ef752f46737e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-22T23:46:25Z",
    "title_canon_sha256": "f274995e71fb3732fbbe5c4ddee878e239da6b866f7f02b91ffafa6855511916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07031",
    "kind": "arxiv",
    "version": 1
  }
}