Pith Number

pith:ML4WFY6L

pith:2015:ML4WFY6L2MRYUR62KVPYV6N2TC

not attested not anchored not stored refs pending

A Lower Bound on the Entropy Rate for a Large Class of Stationary Processes and its Relation to the Hyperplane Conjecture

Meik D\"orpinghaus

arxiv:1512.05423 v3 · 2015-12-17 · 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{ML4WFY6L2MRYUR62KVPYV6N2TC}

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	2026-05-18T00:36:33.493772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f962e3cbd3238a47da555f8af9ba9896f2faef2ff3e526172f5b7c5c600be7

Aliases

arxiv: 1512.05423 · arxiv_version: 1512.05423v3 · doi: 10.48550/arxiv.1512.05423 · pith_short_12: ML4WFY6L2MRY · pith_short_16: ML4WFY6L2MRYUR62 · pith_short_8: ML4WFY6L

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/ML4WFY6L2MRYUR62KVPYV6N2TC \
  | 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: 62f962e3cbd3238a47da555f8af9ba9896f2faef2ff3e526172f5b7c5c600be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7274372c7f9330d5547b5e7e54b89f2acedf09313b35089a5a80e1ce6ec2555",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-17T00:35:02Z",
    "title_canon_sha256": "54c7f2cfedf0d0049f4614dd4ea18b5c11fdfc42d603a4d9a474c55e2e949942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05423",
    "kind": "arxiv",
    "version": 3
  }
}