Pith Number

pith:5AF3Y5NM

pith:2019:5AF3Y5NMJL6EO6VJLTBJQ3NTET

not attested not anchored not stored refs pending

On the Mathematical Foundations of Causal Fermion Systems in Minkowski Space

Marco Oppio

arxiv:1909.09229 v2 · 2019-09-19 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AF3Y5NMJL6EO6VJLTBJQ3NTET}

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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

A Gauge Fixing Procedure for Causal Fermion Systems

Receipt and verification

First computed	2026-07-05T01:59:09.605033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e80bbc75ac4afc477aa95cc2986db324f9f471fc7c55ecb5f121d100bbc8d82a

Aliases

arxiv: 1909.09229 · arxiv_version: 1909.09229v2 · doi: 10.48550/arxiv.1909.09229 · pith_short_12: 5AF3Y5NMJL6E · pith_short_16: 5AF3Y5NMJL6EO6VJ · pith_short_8: 5AF3Y5NM

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/5AF3Y5NMJL6EO6VJLTBJQ3NTET \
  | 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: e80bbc75ac4afc477aa95cc2986db324f9f471fc7c55ecb5f121d100bbc8d82a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e98b0572952bae4415a0ae5cbc65dacd00c018d742533fffe44fca099b75b39",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-09-19T20:39:49Z",
    "title_canon_sha256": "69725fe350af720042fcef01d0c0789dfbc6fd170ae40217343cd30e2b084516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.09229",
    "kind": "arxiv",
    "version": 2
  }
}