Pith Number

pith:PG52FFV6

pith:2016:PG52FFV6OST24MMN2LRILC6TRB

not attested not anchored not stored refs pending

Cache-induced Hierarchical Cooperation in Wireless Device-to-Device Caching Networks

An Liu, Giuseppe Caire, Vincent Lau

arxiv:1612.07417 v1 · 2016-12-22 · 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{PG52FFV6OST24MMN2LRILC6TRB}

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	2026-05-18T00:54:10.069819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bba296be74a7ae318dd2e2858bd3885229a868e0883ee324aed4c5ee5befd8

Aliases

arxiv: 1612.07417 · arxiv_version: 1612.07417v1 · doi: 10.48550/arxiv.1612.07417 · pith_short_12: PG52FFV6OST2 · pith_short_16: PG52FFV6OST24MMN · pith_short_8: PG52FFV6

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/PG52FFV6OST24MMN2LRILC6TRB \
  | 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: 79bba296be74a7ae318dd2e2858bd3885229a868e0883ee324aed4c5ee5befd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f904204a97cefb77961f6fb6559d5c8f334f3399b23af0bfbd6437e91f3b67",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-22T02:31:44Z",
    "title_canon_sha256": "a32617cd8e40a35e7e9769354cf0ec77eb19f239ae9f7d58090257e39081a19e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07417",
    "kind": "arxiv",
    "version": 1
  }
}