Pith Number

pith:KNPVR2EF

pith:2023:KNPVR2EFNRF3FEXMNYJC3S5TUF

not attested not anchored not stored refs pending

Polar form of Dirac fields: implementing symmetries via Lie derivative

Luca Fabbri, Roberto Cianci, Stefano Vignolo

arxiv:2310.10678 v3 · 2023-10-12 · math-ph · 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{KNPVR2EFNRF3FEXMNYJC3S5TUF}

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	2026-07-05T10:36:21.983722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535f58e8856c4bb292ec6e122dcbb3a172b11f7085eabddef64ba18135a142c8

Aliases

arxiv: 2310.10678 · arxiv_version: 2310.10678v3 · doi: 10.48550/arxiv.2310.10678 · pith_short_12: KNPVR2EFNRF3 · pith_short_16: KNPVR2EFNRF3FEXM · pith_short_8: KNPVR2EF

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/KNPVR2EFNRF3FEXMNYJC3S5TUF \
  | 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: 535f58e8856c4bb292ec6e122dcbb3a172b11f7085eabddef64ba18135a142c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc64dac188ef61c695a2347c3badcf1feeccf4649377eb579cde159852e52e62",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-10-12T09:53:42Z",
    "title_canon_sha256": "1dfdbbe10b89f717b5439f10633e10c15f18a75cd78a196abdd4208b79af002f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.10678",
    "kind": "arxiv",
    "version": 3
  }
}