Pith Number

pith:RTG67ZZS

pith:2018:RTG67ZZSYVLVNFNSZ2WRDJDRIX

not attested not anchored not stored refs pending

Shannon and R\'enyi entropy rates of stationary vector valued Gaussian random processes

Jaideep Mulherkar

arxiv:1807.04560 v1 · 2018-07-12 · 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{RTG67ZZSYVLVNFNSZ2WRDJDRIX}

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	2026-05-18T00:10:53.108213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ccdefe732c5575695b2cead11a47145cdce0f6e8692d685e0d58de54844841d

Aliases

arxiv: 1807.04560 · arxiv_version: 1807.04560v1 · doi: 10.48550/arxiv.1807.04560 · pith_short_12: RTG67ZZSYVLV · pith_short_16: RTG67ZZSYVLVNFNS · pith_short_8: RTG67ZZS

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/RTG67ZZSYVLVNFNSZ2WRDJDRIX \
  | 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: 8ccdefe732c5575695b2cead11a47145cdce0f6e8692d685e0d58de54844841d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11541848c9f0d3038966f6b76575d32ff27f5a2b3f6b43c64d4558b5c52c4bd4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-07-12T12:05:24Z",
    "title_canon_sha256": "cb24cea843497503982f5a99150a784e1e61be7e4df514ef136493d778cffd20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04560",
    "kind": "arxiv",
    "version": 1
  }
}