Pith Number

pith:HR3RRE7S

pith:2025:HR3RRE7S24W5Q2PDKHY2YJ67AW

not attested not anchored not stored refs pending

Smooth surface systems may contain smooth curves which have no measure of maximal entropy

Guohua Zhang, Xulei Wang

arxiv:2505.10458 v1 · 2025-05-15 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HR3RRE7S24W5Q2PDKHY2YJ67AW}

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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

Dimensional entropy of amenable group actions over stable sets and fibres

Receipt and verification

First computed	2026-07-05T11:03:38.571912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c771893f2d72dd869e351f1ac27df05b64f01aa65655f9f0ac8e8db5ea6dc6e

Aliases

arxiv: 2505.10458 · arxiv_version: 2505.10458v1 · doi: 10.48550/arxiv.2505.10458 · pith_short_12: HR3RRE7S24W5 · pith_short_16: HR3RRE7S24W5Q2PD · pith_short_8: HR3RRE7S

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/HR3RRE7S24W5Q2PDKHY2YJ67AW \
  | 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: 3c771893f2d72dd869e351f1ac27df05b64f01aa65655f9f0ac8e8db5ea6dc6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f32e2ec6d3cd9a769035900cf60dcfdbd182fb4a567c73345d4b8a260c4f915",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-15T16:15:17Z",
    "title_canon_sha256": "ff425a7519dcf0fb018bec8eae07eddc7f63550e03cf1b40ce6735d56dde96b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10458",
    "kind": "arxiv",
    "version": 1
  }
}