Pith Number

pith:WIP4IKSC

pith:2018:WIP4IKSC5WK2XQRWQUDS7UAHKR

not attested not anchored not stored refs pending

On the Fundamental Limits of Fog-RAN Cache-aided Networks with Downlink and Sidelink Communications

Daniela Tuninetti, Giuseppe Caire, Kai Wan, Mingyue Ji

arxiv:1811.05498 v2 · 2018-11-13 · 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{WIP4IKSC5WK2XQRWQUDS7UAHKR}

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	2026-05-17T23:45:15.220050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21fc42a42ed95abc23685072fd00754530d1ad5c368a1a52734c8ce5e3f660d

Aliases

arxiv: 1811.05498 · arxiv_version: 1811.05498v2 · doi: 10.48550/arxiv.1811.05498 · pith_short_12: WIP4IKSC5WK2 · pith_short_16: WIP4IKSC5WK2XQRW · pith_short_8: WIP4IKSC

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/WIP4IKSC5WK2XQRWQUDS7UAHKR \
  | 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: b21fc42a42ed95abc23685072fd00754530d1ad5c368a1a52734c8ce5e3f660d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d261d99b3342216aee534d5b5ca7438a3637c6b49e64b246a0bf3c11cc8c6a9f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-11-13T19:09:08Z",
    "title_canon_sha256": "f28825b01b48565a2221c9381dbecd81c3dfd73d7bc0f9b8617e2370e3c1a783"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05498",
    "kind": "arxiv",
    "version": 2
  }
}