Pith Number

pith:23455VA5

pith:2011:23455VA5PMRYVKPESRJS6DEE4W

not attested not anchored not stored refs pending

Cosmology of the Galileon from Massive Gravity

CAP Geneve), Claudia de Rham, Lavinia Heisenberg (DPT

arxiv:1106.3312 v3 · 2011-06-16 · 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{23455VA5PMRYVKPESRJS6DEE4W}

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	2026-05-18T04:01:11.550972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f9ded41d7b238aa9e494532f0c84e5b16ff288a8ccaab04532ece9414b8cd9

Aliases

arxiv: 1106.3312 · arxiv_version: 1106.3312v3 · doi: 10.48550/arxiv.1106.3312 · pith_short_12: 23455VA5PMRY · pith_short_16: 23455VA5PMRYVKPE · pith_short_8: 23455VA5

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/23455VA5PMRYVKPESRJS6DEE4W \
  | 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: d6f9ded41d7b238aa9e494532f0c84e5b16ff288a8ccaab04532ece9414b8cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a962d87b020790df396c7c297e511c542673d775c4dab459dece3d286faf73",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-16T19:22:58Z",
    "title_canon_sha256": "1a4967c9f08a6085793cf78ed8f68e481fb6a05cc0dce9fe4116a3746eb7dd83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3312",
    "kind": "arxiv",
    "version": 3
  }
}