Pith Number

pith:2WIP2TPA

pith:2023:2WIP2TPA5MNNSFTK6XEAYSRNNY

not attested not anchored not stored refs pending

Entropy of local homeomorphisms with applications to infinite alphabet shift spaces

Daniel Gon\c{c}alves, Danilo Royer, Felipe Augusto Tasca

arxiv:2301.09238 v1 · 2023-01-23 · math.DS · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WIP2TPA5MNNSFTK6XEAYSRNNY}

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	2026-07-05T05:35:34.156427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d590fd4de0eb1ad9166af5c80c4a2d6e219eb07d1e719a9a1bd4faf49bfba3f2

Aliases

arxiv: 2301.09238 · arxiv_version: 2301.09238v1 · doi: 10.48550/arxiv.2301.09238 · pith_short_12: 2WIP2TPA5MNN · pith_short_16: 2WIP2TPA5MNNSFTK · pith_short_8: 2WIP2TPA

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/2WIP2TPA5MNNSFTK6XEAYSRNNY \
  | 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: d590fd4de0eb1ad9166af5c80c4a2d6e219eb07d1e719a9a1bd4faf49bfba3f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a93e2eec4f56f24d22815a5a8409950c72d38cd07d1311bd398e7b6a0844c1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2023-01-23T01:03:33Z",
    "title_canon_sha256": "5887e00367daef12542ce05a8e73b18d10e062dcd908761207806be88aca2884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.09238",
    "kind": "arxiv",
    "version": 1
  }
}