Pith Number

pith:BIDMOY5P

pith:2000:BIDMOY5PAYK4CZK3MO5YVGRUFK

not attested not anchored not stored refs pending

Analytic Time Delays and H_0 Estimates for Gravitational Lenses

C. R. Keeton (Arizona), H. J. Witt (AIP Potsdam), S. Mao (Jodrell Bank)

arxiv:astro-ph/0004069 v1 · 2000-04-05 · 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{BIDMOY5PAYK4CZK3MO5YVGRUFK}

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	2026-05-18T01:07:46.753088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a06c763af0615c1655b63bb8a9a342ab5253fdf7fea40f77558b8674f3e5c1b

Aliases

arxiv: astro-ph/0004069 · arxiv_version: astro-ph/0004069v1 · doi: 10.48550/arxiv.astro-ph/0004069 · pith_short_12: BIDMOY5PAYK4 · pith_short_16: BIDMOY5PAYK4CZK3 · pith_short_8: BIDMOY5P

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/BIDMOY5PAYK4CZK3MO5YVGRUFK \
  | 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: 0a06c763af0615c1655b63bb8a9a342ab5253fdf7fea40f77558b8674f3e5c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea69cc45a9e6b6546e4dbe81285fd5c89cf3b0e111ad24f3d08c5365f6f205f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-04-05T17:16:16Z",
    "title_canon_sha256": "3fbac2d0c76f0160b6372c5dd7ce4baf6ea83909a151ad96ac9989bee2b5b1a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0004069",
    "kind": "arxiv",
    "version": 1
  }
}