Pith Number

pith:VZPSHWTB

pith:2024:VZPSHWTBBSH47DAO2XBV62YWRA

not attested not anchored not stored refs pending

On the Problem of Defining Charge Operators for the Dirac Quantum Field

Pablo Costa Rico, Roderich Tumulka

arxiv:2407.09126 v1 · 2024-07-12 · math-ph · 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{VZPSHWTBBSH47DAO2XBV62YWRA}

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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.

Cited by

1 paper in Pith

What is electric charge?: Charge as a local observable in relativistic quantum field theory

Receipt and verification

First computed	2026-07-05T08:43:15.088587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae5f23da610c8fcf8c0ed5c35f6b16881e2b30976838e5f6f172def34e46ebf6

Aliases

arxiv: 2407.09126 · arxiv_version: 2407.09126v1 · doi: 10.48550/arxiv.2407.09126 · pith_short_12: VZPSHWTBBSH4 · pith_short_16: VZPSHWTBBSH47DAO · pith_short_8: VZPSHWTB

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/VZPSHWTBBSH47DAO2XBV62YWRA \
  | 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: ae5f23da610c8fcf8c0ed5c35f6b16881e2b30976838e5f6f172def34e46ebf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8414742acfd062683a3b6cbda442dd93f5751cb79449861140583f3ab806693",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-07-12T09:44:31Z",
    "title_canon_sha256": "b6a555f3d26c5883a056031d4ca92ea5ab2ec16c1fce99629523c994ec6942c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09126",
    "kind": "arxiv",
    "version": 1
  }
}