Pith Number

pith:4V2FG5QC

pith:2025:4V2FG5QCV7GXUHEA5GJAUUO624

not attested not anchored not stored refs pending

Quantum Origin of Diffraction from Bright and Dark States

Jian-Jian Cheng, Jun-Ling Che, Lin Zhang, Ming-Liang Hu

Diffraction patterns arise because photons project onto one bright mode while occupying an infinite dark subspace at minima.

arxiv:2510.16329 v4 · 2025-10-18 · quant-ph

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\usepackage{pith}
\pithnumber{4V2FG5QCV7GXUHEA5GJAUUO624}

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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.

Claims

C1strongest claim

the observed diffraction pattern arises from projection of the photon state onto a single bright mode by identifying the detectable and undetectable modes, with photons detected at intensity minima having zero probability, as they reside in modes spanning an infinite-dimensional dark subspace.

C2weakest assumption

That the bright/dark distinction introduced for a finite number of discrete paths in the cited PRL paper extends without additional postulates to a complete, orthonormal, detector-oriented basis for the continuous-mode single-slit case (abstract and §2–3).

C3one line summary

Diffraction arises when photons project onto one bright mode in an infinite-dimensional detector basis while all intensity minima lie in an undetectable dark subspace.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Measurement-defined control of single-particle interference

Receipt and verification

First computed	2026-06-04T01:08:33.947727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e574537602afcd7a1c80e9920a51ded73cd3e2765fda58be711063b8fe9d016a

Aliases

arxiv: 2510.16329 · arxiv_version: 2510.16329v4 · doi: 10.48550/arxiv.2510.16329 · pith_short_12: 4V2FG5QCV7GX · pith_short_16: 4V2FG5QCV7GXUHEA · pith_short_8: 4V2FG5QC

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/4V2FG5QCV7GXUHEA5GJAUUO624 \
  | 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: e574537602afcd7a1c80e9920a51ded73cd3e2765fda58be711063b8fe9d016a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7baa11ac7eb0d90b7d6ee44e675047417b34e829f0b9d83b90827259567e4dda",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-18T03:33:25Z",
    "title_canon_sha256": "0690207006319fd6f5db45216aa85cc0fc5873f280c8ad4724638370fd3bc3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.16329",
    "kind": "arxiv",
    "version": 4
  }
}