Pith Number

pith:2E7N74UB

pith:2002:2E7N74UBCJAFDX5X3PKQTOOE7Y

not attested not anchored not stored refs pending

An investigation of gravitational lens determinations of H_o in quintessence cosmologies

Geraint F. Lewis, Rodrigo A. Ibata

arxiv:astro-ph/0206425 v1 · 2002-06-25 · 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{2E7N74UBCJAFDX5X3PKQTOOE7Y}

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	2026-05-18T04:27:05.152810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d13edff281124051dfb7dbd509b9c4fe0cda39543be1fdc55ae0f6c3f33415d2

Aliases

arxiv: astro-ph/0206425 · arxiv_version: astro-ph/0206425v1 · doi: 10.48550/arxiv.astro-ph/0206425 · pith_short_12: 2E7N74UBCJAF · pith_short_16: 2E7N74UBCJAFDX5X · pith_short_8: 2E7N74UB

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/2E7N74UBCJAFDX5X3PKQTOOE7Y \
  | 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: d13edff281124051dfb7dbd509b9c4fe0cda39543be1fdc55ae0f6c3f33415d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941eebd6f7343f5156f2dbb351d9923038e366c94b4cb9d18b145226172ca72c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-06-25T00:20:16Z",
    "title_canon_sha256": "c649a420f1d4c71b24ae3df37229690dfc12a59827e424e9ddf6113e74c51c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0206425",
    "kind": "arxiv",
    "version": 1
  }
}