Pith Number

pith:2XEEZSEU

pith:2026:2XEEZSEURW6DD4T3JX6YATMAFV

not attested not anchored not stored refs pending

Self-adjoint extensions of $k$-photon light-matter Hamiltonians

Daniel Burgarth, Davide Lonigro, Felix Fischer, Felix Knapp

arxiv:2607.22378 v1 · 2026-07-24 · math-ph · math.FA · math.MP · 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{2XEEZSEURW6DD4T3JX6YATMAFV}

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	2026-07-27T01:21:17.419591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c84cc8948dbc31f27b4dfd804d802d77ba46d2fe86375fd49e62df7697cf6e

Aliases

arxiv: 2607.22378 · arxiv_version: 2607.22378v1 · doi: 10.48550/arxiv.2607.22378 · pith_short_12: 2XEEZSEURW6D · pith_short_16: 2XEEZSEURW6DD4T3 · pith_short_8: 2XEEZSEU

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/2XEEZSEURW6DD4T3JX6YATMAFV \
  | 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: d5c84cc8948dbc31f27b4dfd804d802d77ba46d2fe86375fd49e62df7697cf6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9aaf7b1bfa779fab2d6056867e005a1bbfcbbae0456cc1262efecd4edb5dde",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-24T15:04:35Z",
    "title_canon_sha256": "d3d00b13ee2e2772bcc6cfa4aba300334bb75991cb830112229b79dab947f976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22378",
    "kind": "arxiv",
    "version": 1
  }
}