Pith Number

pith:5KL3H52V

pith:2000:5KL3H52VMYTXXAM4ZFPPMEZJ2H

not attested not anchored not stored refs pending

Signs of the cusps in binary lenses

Valerio Bozza

arxiv:astro-ph/0006208 v1 · 2000-06-15 · 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{5KL3H52VMYTXXAM4ZFPPMEZJ2H}

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	2026-05-18T01:40:47.657034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea97b3f75566277b819cc95ef61329d1ebd7e7d249b6a17eb08d23bf1176f443

Aliases

arxiv: astro-ph/0006208 · arxiv_version: astro-ph/0006208v1 · doi: 10.48550/arxiv.astro-ph/0006208 · pith_short_12: 5KL3H52VMYTX · pith_short_16: 5KL3H52VMYTXXAM4 · pith_short_8: 5KL3H52V

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/5KL3H52VMYTXXAM4ZFPPMEZJ2H \
  | 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: ea97b3f75566277b819cc95ef61329d1ebd7e7d249b6a17eb08d23bf1176f443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d404dd909754fddad1d7304c766574c691e9c87dc88f20b36eb517d9de6fe45",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-06-15T08:14:14Z",
    "title_canon_sha256": "2151f0918bd21f89c5604a867c0dfde6b2478d717b220547d4574bef4d20fbd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0006208",
    "kind": "arxiv",
    "version": 1
  }
}