Pith Number

pith:S5S5QQJU

pith:2025:S5S5QQJUY6Q67ITRAMDDXIU4ME

not attested not anchored not stored refs pending

Statistical stability for systems semi-conjugate to pre-piecewise \textit{convex or expanding} maps with countably many branches

Rafael Lucena

arxiv:2508.11878 v2 · 2025-08-16 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5S5QQJUY6Q67ITRAMDDXIU4ME}

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	2026-05-20T00:02:05.955402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9765d84134c7a1efa27103063ba29c6126183ffaa886da40e7fc021219eec935

Aliases

arxiv: 2508.11878 · arxiv_version: 2508.11878v2 · doi: 10.48550/arxiv.2508.11878 · pith_short_12: S5S5QQJUY6Q6 · pith_short_16: S5S5QQJUY6Q67ITR · pith_short_8: S5S5QQJU

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/S5S5QQJUY6Q67ITRAMDDXIU4ME \
  | 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: 9765d84134c7a1efa27103063ba29c6126183ffaa886da40e7fc021219eec935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b518f18af3643c391d96ebce76a143074517a3af983a6dd68d1723966231a54",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-08-16T02:30:55Z",
    "title_canon_sha256": "2633d742942d4835615a45ad36c022e64ea8fcc5f193dd1640230f2f7152b1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.11878",
    "kind": "arxiv",
    "version": 2
  }
}