Pith Number

pith:DYNZMMNC

pith:2026:DYNZMMNCCUQ44RSTRMYNSOCXM5

not attested not anchored not stored refs pending

Exceptional by Design: Long-Range Hopping as a Knob for Exceptional Point Control

Carolina Martinez-Strasser, Dario Bercioux, Nico Leumer

arxiv:2606.24705 v1 · 2026-06-23 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DYNZMMNCCUQ44RSTRMYNSOCXM5}

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	2026-06-24T01:15:39.637945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e1b9631a21521ce46538b30d93857677ecaa1aee32b7c4909f65afae5a126ce

Aliases

arxiv: 2606.24705 · arxiv_version: 2606.24705v1 · doi: 10.48550/arxiv.2606.24705 · pith_short_12: DYNZMMNCCUQ4 · pith_short_16: DYNZMMNCCUQ44RST · pith_short_8: DYNZMMNC

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/DYNZMMNCCUQ44RSTRMYNSOCXM5 \
  | 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: 1e1b9631a21521ce46538b30d93857677ecaa1aee32b7c4909f65afae5a126ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f51df808a1f79137064c2f5ec727fb92c16388838a528fbcebdc5fffb45f560",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-23T15:31:18Z",
    "title_canon_sha256": "e191cf5255f8e5f1da15073b299b0082166680f5147ddb7d43c4d2a43603660d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24705",
    "kind": "arxiv",
    "version": 1
  }
}