Pith Number
pith:2GRHQT5U
pith:1996:2GRHQT5UMADX377RERZP4UNRQR
not attested
not anchored
not stored
refs pending
Lectures on Gravitational Lensing
arxiv:astro-ph/9606001 v2 · 1996-06-03 · astro-ph
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2GRHQT5UMADX377RERZP4UNRQR}
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
✓
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
Receipt and verification
| First computed | 2026-07-04T15:50:37.923466Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
d1a2784fb460077dfff12472fe51b18447df6ba865ce3d0bb70db9a2a1620867
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2GRHQT5UMADX377RERZP4UNRQR \
| 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: d1a2784fb460077dfff12472fe51b18447df6ba865ce3d0bb70db9a2a1620867
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "ee48fbfda7cb39de3148938ab66dd3ab205930534224849ecd4570e55cd8fee0",
"cross_cats_sorted": [],
"license": "",
"primary_cat": "astro-ph",
"submitted_at": "1996-06-03T06:45:37Z",
"title_canon_sha256": "d2da949271d023168811dd99a5324ad749f6c79289ba8efac231d91a2099824c"
},
"schema_version": "1.0",
"source": {
"id": "astro-ph/9606001",
"kind": "arxiv",
"version": 2
}
}