Pith Number

pith:YWZRC4N3

pith:2025:YWZRC4N3CTFTVLNWSWYO3FJ7UY

not attested not anchored not stored refs pending

Convolution semigroups for automorphism dynamics

Daniel Max Hoffmann, Krzysztof Krupi\'nski, Kyle Gannon

arxiv:2507.23503 v1 · 2025-07-31 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWZRC4N3CTFTVLNWSWYO3FJ7UY}

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	2026-07-05T11:46:25.426810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b31171bb14cb3aadb695b0ed953fa62f736ee929b382e6a379085e43dd4a6b

Aliases

arxiv: 2507.23503 · arxiv_version: 2507.23503v1 · doi: 10.48550/arxiv.2507.23503 · pith_short_12: YWZRC4N3CTFT · pith_short_16: YWZRC4N3CTFTVLNW · pith_short_8: YWZRC4N3

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/YWZRC4N3CTFTVLNWSWYO3FJ7UY \
  | 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: c5b31171bb14cb3aadb695b0ed953fa62f736ee929b382e6a379085e43dd4a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea76edc6e78ce025f4f7a7acee18dbace469ccf627c4e32358dad3d81b33e718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-07-31T12:41:45Z",
    "title_canon_sha256": "451d4ecd20e0093dd342ccf989dc70e7baa87d8a9d32bfaa508d7f7be599320b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23503",
    "kind": "arxiv",
    "version": 1
  }
}