Pith Number

pith:4DUZMXJV

pith:2026:4DUZMXJVG667ZKL6VCLYPB4M6Q

not attested not anchored not stored refs pending

Quantum theory of a three-photon Kerr parametric oscillator

Alessandro Bruno, Alexander Grimm, Matteo Brunelli, Patrick P. Potts

arxiv:2605.21036 v1 · 2026-05-20 · 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{4DUZMXJVG667ZKL6VCLYPB4M6Q}

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	2026-05-21T01:05:33.519700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e9965d3537bdfca97ea89787878cf422087e1f599f2fe00d6b43f7a5406695

Aliases

arxiv: 2605.21036 · arxiv_version: 2605.21036v1 · doi: 10.48550/arxiv.2605.21036 · pith_short_12: 4DUZMXJVG667 · pith_short_16: 4DUZMXJVG667ZKL6 · pith_short_8: 4DUZMXJV

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/4DUZMXJVG667ZKL6VCLYPB4M6Q \
  | 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: e0e9965d3537bdfca97ea89787878cf422087e1f599f2fe00d6b43f7a5406695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689bb516673ef915354293814e64b5ef52f015958ccd29be7150d76b45175e16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-20T11:14:54Z",
    "title_canon_sha256": "c898a0e67f1e4196e9131ec8eaff6b872fdd02d3bda1436debaff636f39f4d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21036",
    "kind": "arxiv",
    "version": 1
  }
}