Pith Number

pith:ZCJWNL7Z

pith:2016:ZCJWNL7ZMDUNO7QRPJUDC5RAQU

not attested not anchored not stored refs pending

Causality Constraints on Massive Gravity

Gustavo Lucena G\'omez, Rakibur Rahman, Xi\'an O. Camanho

arxiv:1610.02033 v3 · 2016-10-06 · 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{ZCJWNL7ZMDUNO7QRPJUDC5RAQU}

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

The Equivalence Principle at High Energies Completes the Spectrum

Receipt and verification

First computed	2026-05-18T00:33:10.728059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89366aff960e8d77e117a683176208522041f45219884ad9891b57941b34fdc

Aliases

arxiv: 1610.02033 · arxiv_version: 1610.02033v3 · doi: 10.48550/arxiv.1610.02033 · pith_short_12: ZCJWNL7ZMDUN · pith_short_16: ZCJWNL7ZMDUNO7QR · pith_short_8: ZCJWNL7Z

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/ZCJWNL7ZMDUNO7QRPJUDC5RAQU \
  | 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: c89366aff960e8d77e117a683176208522041f45219884ad9891b57941b34fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469a6cf9e26cca071193821708850b22fc10c40dfcc280ee28a1183d4e443753",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-10-06T20:00:01Z",
    "title_canon_sha256": "0419c84dcd883475d348b1dc4f40dcd1d2a92d9e45f5decb592a171f40026e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02033",
    "kind": "arxiv",
    "version": 3
  }
}