Pith Number

pith:SMRLZD7O

pith:2025:SMRLZD7OHMI2GCIHX6NKOQH46B

not attested not anchored not stored refs pending

Rate distortion dimension and ergodic decomposition for $\mathbb{R}^d$-actions

Masaki Tsukamoto

arxiv:2503.06851 v1 · 2025-03-10 · 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{SMRLZD7OHMI2GCIHX6NKOQH46B}

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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	2026-07-05T10:27:44.287331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9322bc8fee3b11a30907bf9aa740fcf07365c3064367ec9a77c5711c52a55ae4

Aliases

arxiv: 2503.06851 · arxiv_version: 2503.06851v1 · doi: 10.48550/arxiv.2503.06851 · pith_short_12: SMRLZD7OHMI2 · pith_short_16: SMRLZD7OHMI2GCIH · pith_short_8: SMRLZD7O

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/SMRLZD7OHMI2GCIHX6NKOQH46B \
  | 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: 9322bc8fee3b11a30907bf9aa740fcf07365c3064367ec9a77c5711c52a55ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51cb5b230b97eab1550ad11449bac21f9d12540b54309fbc771ddef6c71eab33",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-03-10T02:23:16Z",
    "title_canon_sha256": "4aa382b4ebd2b235937fb5e78cfa22d2c9927c4041b07c527e06d10074158525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.06851",
    "kind": "arxiv",
    "version": 1
  }
}