Pith Number

pith:GI2JKJEG

pith:2000:GI2JKJEGDIJYUNZN3HZ3GFJ46J

not attested not anchored not stored refs pending

Astrophysical implications of gravitational microlensing of gravitational waves

A.A. Nucita, F. De Paolis, G. Ingrosso

arxiv:astro-ph/0011563 v1 · 2000-11-30 · 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{GI2JKJEGDIJYUNZN3HZ3GFJ46J}

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	2026-07-04T16:17:42.026176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32349524861a138a372dd9f3b3153cf2405e3c13cb05b2bb631342634092be62

Aliases

arxiv: astro-ph/0011563 · arxiv_version: astro-ph/0011563v1 · doi: 10.48550/arxiv.astro-ph/0011563 · pith_short_12: GI2JKJEGDIJY · pith_short_16: GI2JKJEGDIJYUNZN · pith_short_8: GI2JKJEG

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/GI2JKJEGDIJYUNZN3HZ3GFJ46J \
  | 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: 32349524861a138a372dd9f3b3153cf2405e3c13cb05b2bb631342634092be62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff59d182997d767925c2ecad1de817422e10d46f5ca0861311786c3b8b5cebd2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-11-30T09:02:27Z",
    "title_canon_sha256": "f0617556e47fce57517535d9e3437010c90f0b5754c3a097a56e7d2ba2d07279"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0011563",
    "kind": "arxiv",
    "version": 1
  }
}