Pith Number

pith:VXSGCPEC

pith:2011:VXSGCPECMEDDR7EKIJ5J2BKLIO

not attested not anchored not stored refs pending

Massive Gravity Simplified: A Quadratic Action

Ali H. Chamseddine, Viatcheslav Mukhanov

arxiv:1106.5868 v3 · 2011-06-29 · hep-th · 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{VXSGCPECMEDDR7EKIJ5J2BKLIO}

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	2026-05-18T04:08:34.629597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade4613c82610638fc8a427a9d054b43a561263cb6fdf99e08b6fee180f63be6

Aliases

arxiv: 1106.5868 · arxiv_version: 1106.5868v3 · doi: 10.48550/arxiv.1106.5868 · pith_short_12: VXSGCPECMEDD · pith_short_16: VXSGCPECMEDDR7EK · pith_short_8: VXSGCPEC

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/VXSGCPECMEDDR7EKIJ5J2BKLIO \
  | 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: ade4613c82610638fc8a427a9d054b43a561263cb6fdf99e08b6fee180f63be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca73e0b877a8ff557f8d364e9ffbf85107b3a18f55ab2138362b81ab90c7abae",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-29T08:08:28Z",
    "title_canon_sha256": "2dea8ad8d0f01f262ff44fedc3faafd1cff52834dde76121ebf9875ce0ea19d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5868",
    "kind": "arxiv",
    "version": 3
  }
}