Pith Number

pith:W7HAS4NX

pith:2013:W7HAS4NXB3WPNZIGN6FKS7TCDR

not attested not anchored not stored refs pending

Studying light propagation in a locally homogeneous universe through an extended Dyer-Roeder approach

J. A. S. Lima, R. C. Santos, V. C. Busti

arxiv:1301.5360 v2 · 2013-01-22 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7HAS4NXB3WPNZIGN6FKS7TCDR}

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	2026-05-18T02:56:45.145968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ce0971b70eecf6e5066f8aa97e621c61b9bc2a32655f461477410e33da1fd8

Aliases

arxiv: 1301.5360 · arxiv_version: 1301.5360v2 · doi: 10.48550/arxiv.1301.5360 · pith_short_12: W7HAS4NXB3WP · pith_short_16: W7HAS4NXB3WPNZIG · pith_short_8: W7HAS4NX

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/W7HAS4NXB3WPNZIGN6FKS7TCDR \
  | 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: b7ce0971b70eecf6e5066f8aa97e621c61b9bc2a32655f461477410e33da1fd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62761b7fb88d9ff60766824a884a359ffbed8ee90c49b5017702777b260bb127",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-01-22T23:07:36Z",
    "title_canon_sha256": "f82db07ccf1932b210fae98e79347ffc16ddc459aaf482ba96ecc0d422209ced"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5360",
    "kind": "arxiv",
    "version": 2
  }
}