Pith Number

pith:VTT2L7WA

pith:2019:VTT2L7WAPSFPZBS3CY7GX4JK2Z

not attested not anchored not stored refs pending

Cooperative Caching in Fog Radio Access Networks: A Graph-based Approach

Fu-Chun Zheng, Mehdi Bennis, Xiaoting Cui, Yanxiang Jiang

arxiv:1903.01858 v1 · 2019-03-05 · 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{VTT2L7WAPSFPZBS3CY7GX4JK2Z}

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	2026-05-17T23:51:59.556838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace7a5fec07c8afc865b163e6bf12ad652c9b7a7006d1cb9304c1ebfdb8ed475

Aliases

arxiv: 1903.01858 · arxiv_version: 1903.01858v1 · doi: 10.48550/arxiv.1903.01858 · pith_short_12: VTT2L7WAPSFP · pith_short_16: VTT2L7WAPSFPZBS3 · pith_short_8: VTT2L7WA

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/VTT2L7WAPSFPZBS3CY7GX4JK2Z \
  | 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: ace7a5fec07c8afc865b163e6bf12ad652c9b7a7006d1cb9304c1ebfdb8ed475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09722106b505d210da75bb8dfff3f8b8794250c3e9e9ac3accff62138d0eeb31",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-03-05T14:36:18Z",
    "title_canon_sha256": "1bcf1ee64bd3208ce028f36accbf57c541ff42bbe1f544d8cf793cffc464cab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01858",
    "kind": "arxiv",
    "version": 1
  }
}