Pith Number

pith:DLZCKZ6G

pith:2000:DLZCKZ6GSLOPITTNLZ5NW6ALPW

not attested not anchored not stored refs pending

Microlensing of Quasars

Germany), Golm, Joachim Wambsganss (Univ. Potsdam, MPI f. Gravitationsphysik

arxiv:astro-ph/0010004 v1 · 2000-09-30 · 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{DLZCKZ6GSLOPITTNLZ5NW6ALPW}

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	2026-07-04T16:17:13.436358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af22567c692dcf44e6d5e7adb780b7d99f661bfd6f510cec3364210ba5b6c1e

Aliases

arxiv: astro-ph/0010004 · arxiv_version: astro-ph/0010004v1 · doi: 10.48550/arxiv.astro-ph/0010004 · pith_short_12: DLZCKZ6GSLOP · pith_short_16: DLZCKZ6GSLOPITTN · pith_short_8: DLZCKZ6G

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/DLZCKZ6GSLOPITTNLZ5NW6ALPW \
  | 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: 1af22567c692dcf44e6d5e7adb780b7d99f661bfd6f510cec3364210ba5b6c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "552ab1e27b3cc5ad9049899500fb2b9f3d006b4002f664c25989b5b7567b0d00",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-09-30T08:26:46Z",
    "title_canon_sha256": "e9f0936b9bdb904a94d44b074764b87b1b4973bb1a2af950df419af96d43cdc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0010004",
    "kind": "arxiv",
    "version": 1
  }
}