Pith. sign in
Pith Number

pith:224TRTZX

pith:2023:224TRTZX5JPJGZK477KBYNIPLK
not attested not anchored not stored refs pending

Lensing with generalized symmetrons

Christian K\"ading

arxiv:2304.05875 v2 · 2023-04-12 · astro-ph.CO · astro-ph.GA · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{224TRTZX5JPJGZK477KBYNIPLK}

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

2 papers in Pith

Receipt and verification
First computed 2026-07-05T06:19:03.533351Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d6b938cf37ea5e93655cffd41c350f5a9fe59e6185d4ea2e9b4298b05de43773

Aliases

arxiv: 2304.05875 · arxiv_version: 2304.05875v2 · doi: 10.48550/arxiv.2304.05875 · pith_short_12: 224TRTZX5JPJ · pith_short_16: 224TRTZX5JPJGZK4 · pith_short_8: 224TRTZX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/224TRTZX5JPJGZK477KBYNIPLK \
  | 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: d6b938cf37ea5e93655cffd41c350f5a9fe59e6185d4ea2e9b4298b05de43773
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "03dc76cf584d6d471b34e9dd3cde0a048f5865573db1fdc5043a2339b1f33ff7",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-04-12T14:13:13Z",
    "title_canon_sha256": "1e6af0c3295af5f7b6b628dc149cbfe2a030d06ca556dfa2b569a550ceca0513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.05875",
    "kind": "arxiv",
    "version": 2
  }
}