Pith Number

pith:MUWO5I7Q

pith:2020:MUWO5I7QSLAH7IH6D4ESI5G4JD

not attested not anchored not stored refs pending

Cache-Aided Modulation for Heterogeneous Coded Caching over a Gaussian Broadcast Channel

Giuseppe Caire, Kai Wan, Mingyue Ji, Mozhgan Bayat

arxiv:2001.05784 v1 · 2020-01-16 · 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{MUWO5I7QSLAH7IH6D4ESI5G4JD}

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	2026-07-05T00:33:55.798739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

652ceea3f092c07fa0fe1f092474dc48f1876edeec333a1cc9afd259daefa8cc

Aliases

arxiv: 2001.05784 · arxiv_version: 2001.05784v1 · doi: 10.48550/arxiv.2001.05784 · pith_short_12: MUWO5I7QSLAH · pith_short_16: MUWO5I7QSLAH7IH6 · pith_short_8: MUWO5I7Q

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/MUWO5I7QSLAH7IH6D4ESI5G4JD \
  | 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: 652ceea3f092c07fa0fe1f092474dc48f1876edeec333a1cc9afd259daefa8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e8b3c40139403e7257b11d082fbb847f58d341f7dd931b4336c778f2e1ba7d2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-01-16T13:20:06Z",
    "title_canon_sha256": "0ab76fdde10e5abfd6a545338e2eb3e11ac1bc1fcfe83a7ed63e65a419ff5f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.05784",
    "kind": "arxiv",
    "version": 1
  }
}