Pith Number

pith:LLBMXKG2

pith:1996:LLBMXKG2IVHA4ZIBXDBXCI6LL2

not attested not anchored not stored refs pending

The lightcurve reconstruction method for measuring the time delay of gravitational lens systems

Bernhard Geiger, Peter Schneider (Max-Planck-Institut fuer Astrophysik)

arxiv:astro-ph/9601164 v1 · 1996-01-29 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLBMXKG2IVHA4ZIBXDBXCI6LL2}

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	2026-05-18T01:40:21.892529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ac2cba8da454e0e6501b8c37123cb5e9325841b589165938a0aef41566328d9

Aliases

arxiv: astro-ph/9601164 · arxiv_version: astro-ph/9601164v1 · doi: 10.48550/arxiv.astro-ph/9601164 · pith_short_12: LLBMXKG2IVHA · pith_short_16: LLBMXKG2IVHA4ZIB · pith_short_8: LLBMXKG2

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/LLBMXKG2IVHA4ZIBXDBXCI6LL2 \
  | 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: 5ac2cba8da454e0e6501b8c37123cb5e9325841b589165938a0aef41566328d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5002f09b41aa6437fc96b4cddadbe2eee2e7a5f7ed8aaae65268e0a8a3ebb9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-01-29T20:21:00Z",
    "title_canon_sha256": "b148f939fe2572c7f0c1355da00bf7f0f50560d0155ccf0a73491e21a0a6a061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9601164",
    "kind": "arxiv",
    "version": 1
  }
}