Pith Number

pith:W5JUWLGJ

pith:2018:W5JUWLGJBEI6ITOIS3YCCEYAIY

not attested not anchored not stored refs pending

On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology

Ilda In\'acio Rodrigues, Jer\'onimo Cortez, Jos\'e Velhinho, Mercedes Mart\'in-Benito

arxiv:1803.08272 v1 · 2018-03-22 · math-ph · gr-qc · hep-th · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5JUWLGJBEI6ITOIS3YCCEYAIY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:20:23.232570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7534b2cc90911e44dc896f0211300462701638669c0f1b4727da24d5d13ebf4

Aliases

arxiv: 1803.08272 · arxiv_version: 1803.08272v1 · doi: 10.48550/arxiv.1803.08272 · pith_short_12: W5JUWLGJBEI6 · pith_short_16: W5JUWLGJBEI6ITOI · pith_short_8: W5JUWLGJ

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/W5JUWLGJBEI6ITOIS3YCCEYAIY \
  | 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: b7534b2cc90911e44dc896f0211300462701638669c0f1b4727da24d5d13ebf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d8c0f8bd4663c6a72fba4118496cfe29d95be23b00aa84eae3f6de018c7c25",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-22T09:10:00Z",
    "title_canon_sha256": "19d27d8c51d30b0e72a9706a1032edd3c3359e13b01ebcaac4bd0ee49d0cc5a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.08272",
    "kind": "arxiv",
    "version": 1
  }
}