pith. sign in
Pith Number

pith:2462HGPU

pith:2012:2462HGPU2ZUZY4F5YVFFNAHZKE
not attested not anchored not stored refs pending

Classical Duals, Legendre Transforms and the Vainshtein Mechanism

Antonio Padilla, Paul M. Saffin

arxiv:1204.1352 v1 · 2012-04-05 · hep-th · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2462HGPU2ZUZY4F5YVFFNAHZKE}

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 2026-05-18T00:37:22.287827Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d73da399f4d6699c70bdc54a5680f95120510ae78dad9a2e4a99ee993a60b0e9

Aliases

arxiv: 1204.1352 · arxiv_version: 1204.1352v1 · doi: 10.48550/arxiv.1204.1352 · pith_short_12: 2462HGPU2ZUZ · pith_short_16: 2462HGPU2ZUZY4F5 · pith_short_8: 2462HGPU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2462HGPU2ZUZY4F5YVFFNAHZKE \
  | 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: d73da399f4d6699c70bdc54a5680f95120510ae78dad9a2e4a99ee993a60b0e9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "05ea2ac0aabfec93cc388b5bbdc6c6cd7ed6e3f30a0b932ca6be77ec6cc0e511",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-04-05T20:11:31Z",
    "title_canon_sha256": "b3995f22f5ae84f984223c3fe71251d4297b0cf522e2aeb32f424ebc597b742a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1352",
    "kind": "arxiv",
    "version": 1
  }
}