Pith Number

pith:QTYGORPJ

pith:2024:QTYGORPJZ56WWXCQAD2ZS2LL53

not attested not anchored not stored refs pending

To the Problem of Cosmic Expansion in Massive Gravity

Alessandro Longo, Giovanni Tambalo, Lavinia Heisenberg, Miguel Zumalacarregui

arxiv:2411.19873 v1 · 2024-11-29 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTYGORPJZ56WWXCQAD2ZS2LL53}

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.

Cited by

1 paper in Pith

Black hole solutions in theory of ModMax-dRGT-like massive gravity

Receipt and verification

First computed	2026-07-05T09:42:09.590149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f06745e9cf7d6b5c5000f599696beee9623f0c7fed2e1da597dbe513ebf039

Aliases

arxiv: 2411.19873 · arxiv_version: 2411.19873v1 · doi: 10.48550/arxiv.2411.19873 · pith_short_12: QTYGORPJZ56W · pith_short_16: QTYGORPJZ56WWXCQ · pith_short_8: QTYGORPJ

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/QTYGORPJZ56WWXCQAD2ZS2LL53 \
  | 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: 84f06745e9cf7d6b5c5000f599696beee9623f0c7fed2e1da597dbe513ebf039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d1fcb4de370254c7a8dc54701f1acf26f1e7d513ebffd87d3e0ab956986299",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-11-29T17:34:13Z",
    "title_canon_sha256": "cc54d0ddb446abf7217738d267814ac795d7cd0ccadd141856fe110944a58434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19873",
    "kind": "arxiv",
    "version": 1
  }
}