Pith Number

pith:7WT2R3OK

pith:2026:7WT2R3OKXABOSHCJNLVHZJQ3SD

not attested not anchored not stored refs pending

Bargmann Scenarios

Rafael Wagner

Bargmann scenarios and polytopes organize how invariants witness coherence in sets of quantum states.

arxiv:2604.18833 v2 · 2026-04-20 · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WT2R3OKXABOSHCJNLVHZJQ3SD}

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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

Our construction opens new opportunities for the certification of quantum devices and lays the path toward a full quantum resource theory based entirely on multivariate traces of states.

C2weakest assumption

That the newly defined Bargmann polytopes correctly and completely describe the possible values of the invariants when states are incoherent, and that the scenarios exhaustively organize all relevant witnessing capabilities.

C3one line summary

Bargmann scenarios and polytopes form a unified formalism that characterizes the power of Bargmann invariants to witness different forms of coherence in collections of quantum states.

Cited by

2 papers in Pith

A low order Bargmann invariant hierarchy for set coherence

Commutativity from a single Bargmann invariant equality

Receipt and verification

First computed	2026-05-20T00:03:11.782181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda7a8edcab802e91c496aea7ca61b90d8411ac68fabbe143532abb8c890e535

Aliases

arxiv: 2604.18833 · arxiv_version: 2604.18833v2 · doi: 10.48550/arxiv.2604.18833 · pith_short_12: 7WT2R3OKXABO · pith_short_16: 7WT2R3OKXABOSHCJ · pith_short_8: 7WT2R3OK

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/7WT2R3OKXABOSHCJNLVHZJQ3SD \
  | 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: fda7a8edcab802e91c496aea7ca61b90d8411ac68fabbe143532abb8c890e535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98357ccf862bdb85f21d4d56f5dfe9e72c85c5f47ce55e588ee83eefc229377c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-20T20:55:39Z",
    "title_canon_sha256": "138eca5a3c23a2d2ca63c965d418c4673a64744c8ecec1c0dece106922cb15ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.18833",
    "kind": "arxiv",
    "version": 2
  }
}