Pith Number

pith:GF6AP4XH

pith:2019:GF6AP4XHPVS3IDLAHFRCU2SDXX

not attested not anchored not stored refs pending

Confusing dark matter particle properties with modifications to General Relativity

Armando A. Roque, J. Barranco

arxiv:1912.09222 v2 · 2019-12-19 · gr-qc · astro-ph.CO · 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{GF6AP4XHPVS3IDLAHFRCU2SDXX}

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	2026-07-05T01:50:16.714553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317c07f2e77d65b40d6039622a6a43bdd27aa4c3692734d5c254bdc95df75650

Aliases

arxiv: 1912.09222 · arxiv_version: 1912.09222v2 · doi: 10.48550/arxiv.1912.09222 · pith_short_12: GF6AP4XHPVS3 · pith_short_16: GF6AP4XHPVS3IDLA · pith_short_8: GF6AP4XH

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/GF6AP4XHPVS3IDLAHFRCU2SDXX \
  | 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: 317c07f2e77d65b40d6039622a6a43bdd27aa4c3692734d5c254bdc95df75650

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c29e9d7267590df5a02307db558de663e78a3b818ccc444b9d2918497699ba",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-19T14:31:53Z",
    "title_canon_sha256": "678899e4cffc13eb51e46f514d3c33d2e7aa53aacfc8e9af7e11386a9b170780"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09222",
    "kind": "arxiv",
    "version": 2
  }
}