Pith Number

pith:Q3QLR24G

pith:2026:Q3QLR24GACF5A3DZHQY7PYWT4T

not attested not anchored not stored refs pending

Nonlinear Schr\"odinger equations: Symmetries, superposition, and classicality from a Bohmian perspective

\'Angel S. Sanz

arxiv:2606.31529 v1 · 2026-06-30 · quant-ph · 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{Q3QLR24GACF5A3DZHQY7PYWT4T}

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	2026-07-01T01:18:06.214024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e0b8eb86008bd06c793c31f7e2d3e4d7a035f3d4198b2355d749e2d36c2e0c

Aliases

arxiv: 2606.31529 · arxiv_version: 2606.31529v1 · doi: 10.48550/arxiv.2606.31529 · pith_short_12: Q3QLR24GACF5 · pith_short_16: Q3QLR24GACF5A3DZ · pith_short_8: Q3QLR24G

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/Q3QLR24GACF5A3DZHQY7PYWT4T \
  | 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: 86e0b8eb86008bd06c793c31f7e2d3e4d7a035f3d4198b2355d749e2d36c2e0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f543d50ac23f0b381de9b4408587bb43e7fc1bd6e1e27960a8dad65cc7adf55",
    "cross_cats_sorted": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-30T11:42:19Z",
    "title_canon_sha256": "c463b7c8437b943275fc588ecafc872b9b3fbeaa9f1922b3e1f2d0111d0f1ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31529",
    "kind": "arxiv",
    "version": 1
  }
}