Pith Number

pith:DC67HNOI

pith:2013:DC67HNOILSWNLNQQORVIC4P56P

not attested not anchored not stored refs pending

The blackness of the cosmic microwave background spectrum as a probe of the distance-duality relation

Amanda Weltman, George F.R. Ellis, Jean-Philippe Uzan, Robert Poltis

arxiv:1301.1312 v2 · 2013-01-07 · 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{DC67HNOILSWNLNQQORVIC4P56P}

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	2026-05-18T03:21:53.915472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18bdf3b5c85cacd5b610746a8171fdf3f0f8e570db6f8413931e8da6580a9c55

Aliases

arxiv: 1301.1312 · arxiv_version: 1301.1312v2 · doi: 10.48550/arxiv.1301.1312 · pith_short_12: DC67HNOILSWN · pith_short_16: DC67HNOILSWNLNQQ · pith_short_8: DC67HNOI

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/DC67HNOILSWNLNQQORVIC4P56P \
  | 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: 18bdf3b5c85cacd5b610746a8171fdf3f0f8e570db6f8413931e8da6580a9c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e93ed907ad11813bc49f26c9b413f11e83bc576193843aa8465a4c3403e7bba",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-01-07T19:32:35Z",
    "title_canon_sha256": "cfa213a97711fdb497a49095157bafbe868e67bba8398e24ad96ee1ff9b38b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1312",
    "kind": "arxiv",
    "version": 2
  }
}