Pith Number

pith:WETXF7FB

pith:2012:WETXF7FBMJVDXYKF6XS5GJEVDE

not attested not anchored not stored refs pending

Model-independent constraints on the cosmic opacity

J. C. Carvalho, J. S. Alcaniz, R. F. L. Holanda

arxiv:1207.1694 v3 · 2012-07-06 · 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{WETXF7FBMJVDXYKF6XS5GJEVDE}

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	2026-05-18T01:56:33.605960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b12772fca1626a3be145f5e5d3249519076094f9ce031973a1f4f6b1f1ecc4a1

Aliases

arxiv: 1207.1694 · arxiv_version: 1207.1694v3 · doi: 10.48550/arxiv.1207.1694 · pith_short_12: WETXF7FBMJVD · pith_short_16: WETXF7FBMJVDXYKF · pith_short_8: WETXF7FB

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/WETXF7FBMJVDXYKF6XS5GJEVDE \
  | 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: b12772fca1626a3be145f5e5d3249519076094f9ce031973a1f4f6b1f1ecc4a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af80b139eaf1ed85180b0d9b9a4fcd823b7df8e5cffb316c19131112eb2bf3da",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-06T17:45:16Z",
    "title_canon_sha256": "471e8f8abc6bccea1432b2a91efabeb74aacdff8cf1ce8cb40dc46fd96d43e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1694",
    "kind": "arxiv",
    "version": 3
  }
}