Pith Number

pith:UPGO5X2N

pith:2016:UPGO5X2NQ2S3BHOE5X4CCGFPER

not attested not anchored not stored refs pending

A Stackelberg Game for Incentive Proactive Caching Mechanisms in Wireless Networks

Ejder Ba\c{s}tu\u{g}, Fei Shen, Kenza Hamidouche, M\'erouane Debbah

arxiv:1609.02596 v1 · 2016-09-08 · cs.IT · cs.GT · 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{UPGO5X2NQ2S3BHOE5X4CCGFPER}

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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	2026-05-18T01:04:53.011995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cceedf4d86a5b09dc4edf82118af245234ffea02a0566c8dc07bceb89a6c79

Aliases

arxiv: 1609.02596 · arxiv_version: 1609.02596v1 · doi: 10.48550/arxiv.1609.02596 · pith_short_12: UPGO5X2NQ2S3 · pith_short_16: UPGO5X2NQ2S3BHOE · pith_short_8: UPGO5X2N

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/UPGO5X2NQ2S3BHOE5X4CCGFPER \
  | 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: a3cceedf4d86a5b09dc4edf82118af245234ffea02a0566c8dc07bceb89a6c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ff1930fff9c49646d77e43b22f5193b47f75bd91b7bcac8c03c7a8d8946423",
    "cross_cats_sorted": [
      "cs.GT",
      "cs.NI",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-08T21:20:45Z",
    "title_canon_sha256": "2e3727d75b6041e79df1ae8f9e08ece5cf3ff85961f5f792085d40b1b4eb8e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02596",
    "kind": "arxiv",
    "version": 1
  }
}