Pith Number

pith:CDVSX7AK

pith:2025:CDVSX7AKWJORWO3R3A4QL5VDZD

not attested not anchored not stored refs pending

Mean dimension and rate-distortion function revisited

Rui Yang

arxiv:2510.08051 v2 · 2025-10-09 · math.DS · 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{CDVSX7AKWJORWO3R3A4QL5VDZD}

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.

Cited by

1 paper in Pith

On quantization and the classical variational principle for the metric mean dimension

Receipt and verification

First computed	2026-07-07T02:17:11.425646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10eb2bfc0ab25d1b3b71d83905f6a3c8e5377886c47389bdc9a73986ca53e595

Aliases

arxiv: 2510.08051 · arxiv_version: 2510.08051v2 · doi: 10.48550/arxiv.2510.08051 · pith_short_12: CDVSX7AKWJOR · pith_short_16: CDVSX7AKWJORWO3R · pith_short_8: CDVSX7AK

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/CDVSX7AKWJORWO3R3A4QL5VDZD \
  | 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: 10eb2bfc0ab25d1b3b71d83905f6a3c8e5377886c47389bdc9a73986ca53e595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "616970324ec976f81ef6bd0f125fc1954b7c153c272cb8e4978942c3d838cd99",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-10-09T10:37:23Z",
    "title_canon_sha256": "b6f75f425fe808217109cc33954c7ea7314c052cdc3dc696bc2863541086172f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.08051",
    "kind": "arxiv",
    "version": 2
  }
}