Pith Number

pith:ZXEQMUPG

pith:2019:ZXEQMUPGTK5P2RK4GZXU2E2WE5

not attested not anchored not stored refs pending

Cosmological and astrophysical applications of modified theories of gravity

Jo\~ao Lu\'is Rosa

arxiv:1911.08257 v1 · 2019-11-19 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXEQMUPGTK5P2RK4GZXU2E2WE5}

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	2026-07-05T00:20:26.783038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc90651e69abafd455c366f4d1356277b2ce90cf44f177a4af756878faf703f

Aliases

arxiv: 1911.08257 · arxiv_version: 1911.08257v1 · doi: 10.48550/arxiv.1911.08257 · pith_short_12: ZXEQMUPGTK5P · pith_short_16: ZXEQMUPGTK5P2RK4 · pith_short_8: ZXEQMUPG

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/ZXEQMUPGTK5P2RK4GZXU2E2WE5 \
  | 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: cdc90651e69abafd455c366f4d1356277b2ce90cf44f177a4af756878faf703f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e07617864a993495758c2b917eb48f401a8a882c34c6f5bc68580bfcefaa8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-11-19T13:35:46Z",
    "title_canon_sha256": "7fbea6744ddf49d7f42fbf31b3322057b9ce13072ad635d3914df20bfe10b118"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08257",
    "kind": "arxiv",
    "version": 1
  }
}