Pith Number

pith:DZ6FLROR

pith:2025:DZ6FLRORP7C4XDJHDUDLNDJAK5

not attested not anchored not stored refs pending

Dynamical systems on torus related to general Heun equations: phase-lock areas and constriction breaking

Alexey Glutsyuk, Artem Alexandrov

arxiv:2507.07282 v3 · 2025-07-09 · math.DS · math-ph · math.MP · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZ6FLRORP7C4XDJHDUDLNDJAK5}

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	2026-07-05T11:52:22.098063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e7c55c5d17fc5cb8d271d06b68d2057677e5239d1d2cc50aacef2e5915047d4

Aliases

arxiv: 2507.07282 · arxiv_version: 2507.07282v3 · doi: 10.48550/arxiv.2507.07282 · pith_short_12: DZ6FLRORP7C4 · pith_short_16: DZ6FLRORP7C4XDJH · pith_short_8: DZ6FLROR

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/DZ6FLRORP7C4XDJHDUDLNDJAK5 \
  | 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: 1e7c55c5d17fc5cb8d271d06b68d2057677e5239d1d2cc50aacef2e5915047d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7d4291bee893ffec41f8f8aaf934f8cc54143233de5216156c81808b27d2de8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.AO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-09T20:59:29Z",
    "title_canon_sha256": "cb2886268771f5f0ae3056231dd77986ea4a947b7300ff97ea14d314a366cf86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07282",
    "kind": "arxiv",
    "version": 3
  }
}