Pith Number

pith:REQ2Q22N

pith:2025:REQ2Q22NJQ7BUIVVBMI2JZPRCX

not attested not anchored not stored refs pending

Invisible gravitons and large-scale magnetism

Massimo Giovannini

arxiv:2512.14307 v1 · 2025-12-16 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{REQ2Q22NJQ7BUIVVBMI2JZPRCX}

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	2026-07-13T00:17:05.035496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8921a86b4d4c3e1a22b50b11a4e5f115f0b163bfbb217edf905f316ce40522fb

Aliases

arxiv: 2512.14307 · arxiv_version: 2512.14307v1 · doi: 10.48550/arxiv.2512.14307 · pith_short_12: REQ2Q22NJQ7B · pith_short_16: REQ2Q22NJQ7BUIVV · pith_short_8: REQ2Q22N

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/REQ2Q22NJQ7BUIVVBMI2JZPRCX \
  | 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: 8921a86b4d4c3e1a22b50b11a4e5f115f0b163bfbb217edf905f316ce40522fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f6317d2756c947dc532572ce0416dbc849847486ac0fca91a1f232b89fb315",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-12-16T11:23:43Z",
    "title_canon_sha256": "a836c9e8c0abd1bace64f1c57cb3cf423eee8b6623c1750b148558752f6a1a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.14307",
    "kind": "arxiv",
    "version": 1
  }
}