Pith Number
pith:T25DYPZX
pith:2022:T25DYPZXMTTH7NENEVJDWPHE2T
not attested
not anchored
not stored
refs pending
Etherington duality breaking: gravitational lensing in non-metric spacetimes versus intrinsic alignments
arxiv:2208.07197 v2 · 2022-08-15 · astro-ph.CO
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T25DYPZXMTTH7NENEVJDWPHE2T}
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
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claim
4
Citations
5
Replications
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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 | 2026-07-05T05:22:53.378339Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
9eba3c3f3764e67fb48d25523b3ce4d4ec1dc614c7de221f10bba1e0fff12035
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T25DYPZXMTTH7NENEVJDWPHE2T \
| 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: 9eba3c3f3764e67fb48d25523b3ce4d4ec1dc614c7de221f10bba1e0fff12035
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "d16ed3884b96d2128936132a085d8c12359e5ff748298faf0cd8ec8c415e019c",
"cross_cats_sorted": [],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"primary_cat": "astro-ph.CO",
"submitted_at": "2022-08-15T14:01:20Z",
"title_canon_sha256": "0e27d887cab4aaefbbc80283456ebdad0d4a2f51fbb8c6c482026096bb20893a"
},
"schema_version": "1.0",
"source": {
"id": "2208.07197",
"kind": "arxiv",
"version": 2
}
}