Pith Number

pith:ZGON22FZ

pith:2012:ZGON22FZR6QY7URRVDACWBA35Y

not attested not anchored not stored refs pending

Characterising Vainshtein Solutions in Massive Gravity

Fulvio Sbis\`a, Gianmassimo Tasinato, Gustavo Niz, Kazuya Koyama

arxiv:1204.1193 v3 · 2012-04-05 · hep-th · astro-ph.CO · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGON22FZR6QY7URRVDACWBA35Y}

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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

Graviton propagation in ghost-free massive gravity

Receipt and verification

First computed	2026-05-18T00:15:53.136910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99cdd68b98fa18fd231a8c02b041bee0a90bf2255c77b53836f2e0f4d385fb5

Aliases

arxiv: 1204.1193 · arxiv_version: 1204.1193v3 · doi: 10.48550/arxiv.1204.1193 · pith_short_12: ZGON22FZR6QY · pith_short_16: ZGON22FZR6QY7URR · pith_short_8: ZGON22FZ

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/ZGON22FZR6QY7URRVDACWBA35Y \
  | 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: c99cdd68b98fa18fd231a8c02b041bee0a90bf2255c77b53836f2e0f4d385fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e761eb0cd123c1fc6c24feb93d8357c2878203b92b54ac949a7497f2bbbd2c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-05T12:12:12Z",
    "title_canon_sha256": "bf54cb387a304e8fd37d8f682382a2a1a296b6a3ba71690ba81d0b268010b275"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1193",
    "kind": "arxiv",
    "version": 3
  }
}