Pith Number

pith:BLKO3R5D

pith:2025:BLKO3R5DXHPO6SC6RVDU3LBYGT

not attested not anchored not stored refs pending

Dirac Fields in Hydrodynamic Form and their Thermodynamic Formulation

Giuseppe De Maria, Luca Fabbri, Sante Carloni, Stefano Vignolo

arxiv:2506.02608 v2 · 2025-06-03 · 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{BLKO3R5DXHPO6SC6RVDU3LBYGT}

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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 covariant approach to the Dirac field in LRS space-times: the case of coplanar frames

Receipt and verification

First computed	2026-07-05T11:41:42.639146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ad4edc7a3b9deef485e8d474dac3834fe0b682b7d524a443578356889b93f98

Aliases

arxiv: 2506.02608 · arxiv_version: 2506.02608v2 · doi: 10.48550/arxiv.2506.02608 · pith_short_12: BLKO3R5DXHPO · pith_short_16: BLKO3R5DXHPO6SC6 · pith_short_8: BLKO3R5D

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/BLKO3R5DXHPO6SC6RVDU3LBYGT \
  | 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: 0ad4edc7a3b9deef485e8d474dac3834fe0b682b7d524a443578356889b93f98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e68860c626cdb342c1f30af7c6c23f00065dc50c5552e299ea2d46603b7d10a0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-06-03T08:28:36Z",
    "title_canon_sha256": "355a1b771b3c8b1e72a0200f6a2200cf3b28b3797b901f8a6e928b4ef0490cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02608",
    "kind": "arxiv",
    "version": 2
  }
}