Pith Number

pith:XSRAX2YQ

pith:2026:XSRAX2YQX7ABW7IOR4KPAYQSXY

not attested not anchored not stored refs pending

Testing Catability and Coherent Superposition of $2\mathcal{D}$ Graphene Quantum system

Abdelmalek Bouzenada

A new functional called catability, built from Lie algebra symmetries and Green function propagation, measures phase-dependent coherence and interference stability in graphene superpositions.

arxiv:2605.10967 v2 · 2026-05-08 · quant-ph

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\usepackage{pith}
\pithnumber{XSRAX2YQX7ABW7IOR4KPAYQSXY}

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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

A unified framework combining Lie algebraic symmetry analysis with Green function propagation theory yields a consistent description of phase-sensitive catability in complex graphene quantum configurations.

C2weakest assumption

That the newly defined catability functional actually captures physically meaningful interference stability and coherence structure in graphene systems beyond standard quantum measures, without additional validation or derivation from first principles.

C3one line summary

A new functional metric called catability is defined to measure phase-dependent coherence and interference in graphene quantum superpositions using Lie algebra and Green function methods.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-11T01:10:37.401436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca20beb10bfc01b7d0e8f14f06212be3c098df4d82915fa2f661d4f0520afef

Aliases

arxiv: 2605.10967 · arxiv_version: 2605.10967v2 · doi: 10.48550/arxiv.2605.10967 · pith_short_12: XSRAX2YQX7AB · pith_short_16: XSRAX2YQX7ABW7IO · pith_short_8: XSRAX2YQ

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/XSRAX2YQX7ABW7IOR4KPAYQSXY \
  | 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: bca20beb10bfc01b7d0e8f14f06212be3c098df4d82915fa2f661d4f0520afef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19bb2a9085d7196e86d352f8b1fcb359e25b73f24e06664991250c990deb942f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-08T11:19:15Z",
    "title_canon_sha256": "1bc86899177d2990d98b166e01057711f25eb2def34015630971c4c4db3b7816"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10967",
    "kind": "arxiv",
    "version": 2
  }
}