Pith Number

pith:UETUP3Q4

pith:2025:UETUP3Q4TS5EYJCA5YJWAWRKFU

not attested not anchored not stored refs pending

Fourier decay of equilibrium states and the Fibonacci Hamiltonian

Ga\'etan Leclerc

arxiv:2507.23731 v1 · 2025-07-31 · math.DS · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UETUP3Q4TS5EYJCA5YJWAWRKFU}

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	2026-07-05T11:46:30.155883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a12747ee1c9cba4c2440ee13605a2a2d28650587faacd1e942de264c17fdf620

Aliases

arxiv: 2507.23731 · arxiv_version: 2507.23731v1 · doi: 10.48550/arxiv.2507.23731 · pith_short_12: UETUP3Q4TS5E · pith_short_16: UETUP3Q4TS5EYJCA · pith_short_8: UETUP3Q4

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/UETUP3Q4TS5EYJCA5YJWAWRKFU \
  | 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: a12747ee1c9cba4c2440ee13605a2a2d28650587faacd1e942de264c17fdf620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d68a6cefc03e023850b0662ad9dd5ab6b8706d0676603e0e94c017a9da8b1c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-31T17:05:51Z",
    "title_canon_sha256": "5849ae0c36a1c01e03937dca019105a19182dfa7db389f78afe4ff27acbce05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23731",
    "kind": "arxiv",
    "version": 1
  }
}