Pith Number

pith:EQDJN2YH

pith:2026:EQDJN2YHDHBPIZS3NZCQQPF2AH

not attested not anchored not stored refs pending

The Complex Spectral Flow: Spectral Conditions for Two-Parameter Equivariant Bifurcation Guarantees

Ziad Ghanem

arxiv:2606.05428 v1 · 2026-06-03 · 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{EQDJN2YHDHBPIZS3NZCQQPF2AH}

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	2026-06-05T00:13:57.490298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240696eb0719c2f4665b6e45083cba01f588f6456360fb2e09f56d8c0b3193f7

Aliases

arxiv: 2606.05428 · arxiv_version: 2606.05428v1 · doi: 10.48550/arxiv.2606.05428 · pith_short_12: EQDJN2YHDHBP · pith_short_16: EQDJN2YHDHBPIZS3 · pith_short_8: EQDJN2YH

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/EQDJN2YHDHBPIZS3NZCQQPF2AH \
  | 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: 240696eb0719c2f4665b6e45083cba01f588f6456360fb2e09f56d8c0b3193f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93bf4c5c1245879b2087319995fdefd0b6e5e5792c040201e676db8f8aea567b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-03T20:49:08Z",
    "title_canon_sha256": "efa9fb9b92f7165e3ff23172075d35f4f727484459e346294c02a8793ee04fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05428",
    "kind": "arxiv",
    "version": 1
  }
}