Pith Number

pith:BK4M5FPD

pith:2026:BK4M5FPDELBDX2TZYPBEQYRD7Y

not attested not anchored not stored refs pending

Higher-order exceptional points in a multimode continuum optoacoustic system

Anton Montag, Birgit Stiller, Flore K. Kunst, Julius T. Gohsrich, Quentin Levoy

arxiv:2606.04671 v1 · 2026-06-03 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BK4M5FPDELBDX2TZYPBEQYRD7Y}

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	2026-06-04T01:09:24.221552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab8ce95e322c23bea79c3c2486223fe343e175b84789cce45372efb46d91b00

Aliases

arxiv: 2606.04671 · arxiv_version: 2606.04671v1 · doi: 10.48550/arxiv.2606.04671 · pith_short_12: BK4M5FPDELBD · pith_short_16: BK4M5FPDELBDX2TZ · pith_short_8: BK4M5FPD

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/BK4M5FPDELBDX2TZYPBEQYRD7Y \
  | 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: 0ab8ce95e322c23bea79c3c2486223fe343e175b84789cce45372efb46d91b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5393d3c432481070e964d6c6310ff189dbf0962900e895f467e712a2ad366ef2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-06-03T09:52:31Z",
    "title_canon_sha256": "24c5861423abf194130574cc6ceee608ffa5583b97e60d4faad9b874710f024f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04671",
    "kind": "arxiv",
    "version": 1
  }
}