Pith Number

pith:ZVVOLASQ

pith:2011:ZVVOLASQ7FFAJEF2FD7BF4VNH3

not attested not anchored not stored refs pending

Nonlinear Dynamics of 3D Massive Gravity

Andrew J. Tolley, Claudia de Rham, David Pirtskhalava, Gregory Gabadadze, Itay Yavin

arxiv:1103.1351 v1 · 2011-03-07 · 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{ZVVOLASQ7FFAJEF2FD7BF4VNH3}

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	2026-05-18T02:02:58.702916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6ae58250f94a0490ba28fe12f2ad3ef8256854cef905fc4706eee7e2e154e7

Aliases

arxiv: 1103.1351 · arxiv_version: 1103.1351v1 · doi: 10.48550/arxiv.1103.1351 · pith_short_12: ZVVOLASQ7FFA · pith_short_16: ZVVOLASQ7FFAJEF2 · pith_short_8: ZVVOLASQ

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/ZVVOLASQ7FFAJEF2FD7BF4VNH3 \
  | 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: cd6ae58250f94a0490ba28fe12f2ad3ef8256854cef905fc4706eee7e2e154e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e14ddb38ba97ae18e811864751582f3e6ed169cdc860495bdf09376bcbc92ef",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-03-07T19:41:40Z",
    "title_canon_sha256": "fe2d50ffd7aba8df1578782d2a5583711cd7c4ae521ec5d3ff0a4c9eda648d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1351",
    "kind": "arxiv",
    "version": 1
  }
}