Pith Number

pith:U32VRGVO

pith:2025:U32VRGVOFPE2IXEIDCBCWY7WTQ

not attested not anchored not stored refs pending

Averaging Dynamics of Scalar Field-Matter Interacting Models in Anisotropic Universes: The Locally Rotationally Symmetric Bianchi I Spacetime

Alfredo D. Millano, Andronikos Paliathanasis, Genly Leon

arxiv:2508.01876 v2 · 2025-08-03 · gr-qc · 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{U32VRGVOFPE2IXEIDCBCWY7WTQ}

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	2026-07-05T11:48:28.563188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f5589aae2bc9a45c8818822b63f69c1ce8fc7e455f3228768bf0c7fd0231d6

Aliases

arxiv: 2508.01876 · arxiv_version: 2508.01876v2 · doi: 10.48550/arxiv.2508.01876 · pith_short_12: U32VRGVOFPE2 · pith_short_16: U32VRGVOFPE2IXEI · pith_short_8: U32VRGVO

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/U32VRGVOFPE2IXEIDCBCWY7WTQ \
  | 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: a6f5589aae2bc9a45c8818822b63f69c1ce8fc7e455f3228768bf0c7fd0231d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f48712783ad825d3a93c63ed2d9357c4f76250aa3e683188b885435651c977",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-03T18:18:17Z",
    "title_canon_sha256": "6f1808f5c4830b460dd75b7dabe99dd87e40a6a7c4216f4a6cb038df446dc7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.01876",
    "kind": "arxiv",
    "version": 2
  }
}