Pith Number

pith:IGBAABTQ

pith:2025:IGBAABTQU7O2EQCABDGVT5KGS7

not attested not anchored not stored refs pending

Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability

L.M. Lerman, N.E. Kulagin, R. Mazrooei-Sebdani

arxiv:2505.23991 v1 · 2025-05-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGBAABTQU7O2EQCABDGVT5KGS7}

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	2026-07-05T11:12:39.707346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4182000670a7dda2404008cd59f54697c109ca9cb56b3fef9981ffe5ffdd1dfd

Aliases

arxiv: 2505.23991 · arxiv_version: 2505.23991v1 · doi: 10.48550/arxiv.2505.23991 · pith_short_12: IGBAABTQU7O2 · pith_short_16: IGBAABTQU7O2EQCA · pith_short_8: IGBAABTQ

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/IGBAABTQU7O2EQCABDGVT5KGS7 \
  | 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: 4182000670a7dda2404008cd59f54697c109ca9cb56b3fef9981ffe5ffdd1dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc1f1a17e4b7173c8ac549c536d7ccd02a75a2db1803e4414e12129f48d53cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-29T20:33:52Z",
    "title_canon_sha256": "c1050222f3785e7e8efc019f5c1d9a70f36e28789a8e51daa6ae1e3a5ed6fd5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23991",
    "kind": "arxiv",
    "version": 1
  }
}