Pith Number

pith:Q6EEDFO2

pith:1998:Q6EEDFO2IDP66ATU3O7SBPSTSD

not attested not anchored not stored refs pending

Gravitational Lensing of Distant Supernovae in Cold Dark Matter Universes

Cristiano Porciani, Piero Madau

arxiv:astro-ph/9810403 v2 · 1998-10-25 · 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{Q6EEDFO2IDP66ATU3O7SBPSTSD}

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	2026-07-04T14:16:15.232540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87884195da40dfef0274dbbf20be5390cfff14d1543e7c3f2fc3f6e469e1b266

Aliases

arxiv: astro-ph/9810403 · arxiv_version: astro-ph/9810403v2 · doi: 10.48550/arxiv.astro-ph/9810403 · pith_short_12: Q6EEDFO2IDP6 · pith_short_16: Q6EEDFO2IDP66ATU · pith_short_8: Q6EEDFO2

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/Q6EEDFO2IDP66ATU3O7SBPSTSD \
  | 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: 87884195da40dfef0274dbbf20be5390cfff14d1543e7c3f2fc3f6e469e1b266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a98d11615ac1332b4a744a0bcb3ab34312acfeee60aa4a9fedf5b80e0522cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-10-25T17:51:44Z",
    "title_canon_sha256": "dab8f8f0a28d007088dc48706f9dd718b47682883b865fe80c20e76d4e3ddb52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9810403",
    "kind": "arxiv",
    "version": 2
  }
}