Pith Number

pith:4ECW7MLB

pith:2015:4ECW7MLBACHNKRTPAZ5KNYI6YL

not attested not anchored not stored refs pending

On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity

Ke-Chao Zhang, Qing-Guo Huang, Raquel H. Ribeiro, Shuang-Yong Zhou, Yu-Hang Xing

arxiv:1505.02616 v2 · 2015-05-11 · 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{4ECW7MLBACHNKRTPAZ5KNYI6YL}

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	2026-05-18T01:20:59.115507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1056fb161008ed5466f067aa6e11ec2fc1bde55eb0b94e9053237fb76920258

Aliases

arxiv: 1505.02616 · arxiv_version: 1505.02616v2 · doi: 10.48550/arxiv.1505.02616 · pith_short_12: 4ECW7MLBACHN · pith_short_16: 4ECW7MLBACHNKRTP · pith_short_8: 4ECW7MLB

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/4ECW7MLBACHNKRTPAZ5KNYI6YL \
  | 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: e1056fb161008ed5466f067aa6e11ec2fc1bde55eb0b94e9053237fb76920258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d98b99975da00023e340663f08ef3c5c128a16c4caa78d0edfb8c2206731eb",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-05-11T13:52:21Z",
    "title_canon_sha256": "4e8297a866124ef6881c0ac449128694d57a91a57c769a0c991187264418c589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02616",
    "kind": "arxiv",
    "version": 2
  }
}