Pith Number

pith:QPHZPLD2

pith:2012:QPHZPLD2P2FDTC6NH5SXSXHBUY

not attested not anchored not stored refs pending

Acausality of Massive Gravity

A. Waldron, S. Deser

arxiv:1212.5835 v3 · 2012-12-23 · 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{QPHZPLD2P2FDTC6NH5SXSXHBUY}

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.

Cited by

1 paper in Pith

Well-posedness of minimal dRGT massive gravity

Receipt and verification

First computed	2026-05-18T03:30:53.394153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83cf97ac7a7e8a398bcd3f65795ce1a63fcd32c822fd06e01320a2c1158bce58

Aliases

arxiv: 1212.5835 · arxiv_version: 1212.5835v3 · doi: 10.48550/arxiv.1212.5835 · pith_short_12: QPHZPLD2P2FD · pith_short_16: QPHZPLD2P2FDTC6N · pith_short_8: QPHZPLD2

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/QPHZPLD2P2FDTC6NH5SXSXHBUY \
  | 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: 83cf97ac7a7e8a398bcd3f65795ce1a63fcd32c822fd06e01320a2c1158bce58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9d8139d28123f41aa30ed204d3fa62154aaffbf2227b90dc14107c646ecd6d6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-23T21:24:10Z",
    "title_canon_sha256": "8a903f501ce2d4f29ff2021b0ab6f7170f0e490a446810aacd4e44c417480df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5835",
    "kind": "arxiv",
    "version": 3
  }
}