Pith Number

pith:2Y7I6MNA

pith:2016:2Y7I6MNAGDD5FSBDX4CHRHF63C

not attested not anchored not stored refs pending

The $\Lambda_2$ limit of massive gravity

Andrew J. Tolley, Claudia de Rham, Shuang-Yong Zhou

arxiv:1602.03721 v2 · 2016-02-11 · 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{2Y7I6MNAGDD5FSBDX4CHRHF63C}

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	2026-05-18T01:15:14.048767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d63e8f31a030c7d2c823bf04789cbed89dd54f900b6f54650ec62ae7964ac97d

Aliases

arxiv: 1602.03721 · arxiv_version: 1602.03721v2 · doi: 10.48550/arxiv.1602.03721 · pith_short_12: 2Y7I6MNAGDD5 · pith_short_16: 2Y7I6MNAGDD5FSBD · pith_short_8: 2Y7I6MNA

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/2Y7I6MNAGDD5FSBDX4CHRHF63C \
  | 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: d63e8f31a030c7d2c823bf04789cbed89dd54f900b6f54650ec62ae7964ac97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0434e68b5e44fb286d693075f58458d3d98c6fb14f8a140043cbc997500b4c0d",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-02-11T13:25:10Z",
    "title_canon_sha256": "67bf4b5a33e7f0087268cb595a7925b5007d84e4c8936bf607bfa762435526d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03721",
    "kind": "arxiv",
    "version": 2
  }
}