Pith Number

pith:E7STAP2V

pith:2013:E7STAP2VMCZGMKEV2FNNXBLEIS

not attested not anchored not stored refs pending

On the cosmology of massive gravity

A. Emir Gumrukcuoglu, Antonio De Felice, Chunshan Lin, Shinji Mukohyama

arxiv:1304.0484 v2 · 2013-04-01 · hep-th · astro-ph.CO · 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{E7STAP2VMCZGMKEV2FNNXBLEIS}

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	2026-05-18T03:13:35.771643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e5303f5560b2662895d15adb8564449e033dc89d8ddece64b2212335a0a8cc

Aliases

arxiv: 1304.0484 · arxiv_version: 1304.0484v2 · doi: 10.48550/arxiv.1304.0484 · pith_short_12: E7STAP2VMCZG · pith_short_16: E7STAP2VMCZGMKEV · pith_short_8: E7STAP2V

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/E7STAP2VMCZGMKEV2FNNXBLEIS \
  | 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: 27e5303f5560b2662895d15adb8564449e033dc89d8ddece64b2212335a0a8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3ccb4724f155968724963da11864291f5f4aaf3bb561bc581e6c47754af074a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-01T21:31:08Z",
    "title_canon_sha256": "25e4c184f671193346125de50cac71fff86eecfb9e84a6865206e4232af3cdd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0484",
    "kind": "arxiv",
    "version": 2
  }
}