Pith Number

pith:E7KQX4XK

pith:2018:E7KQX4XKGOVUJM3LHIWRD4O54Y

not attested not anchored not stored refs pending

Gravitational birefringence of light at cosmological scales

Christian Duval, Thomas Schucker

arxiv:1804.10420 v1 · 2018-04-27 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E7KQX4XKGOVUJM3LHIWRD4O54Y}

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	2026-05-18T00:17:20.815908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d50bf2ea33ab44b36b3a2d11f1dde6099c39f0f40bb08daf8e324b885a8a95

Aliases

arxiv: 1804.10420 · arxiv_version: 1804.10420v1 · doi: 10.48550/arxiv.1804.10420 · pith_short_12: E7KQX4XKGOVU · pith_short_16: E7KQX4XKGOVUJM3L · pith_short_8: E7KQX4XK

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/E7KQX4XKGOVUJM3LHIWRD4O54Y \
  | 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: 27d50bf2ea33ab44b36b3a2d11f1dde6099c39f0f40bb08daf8e324b885a8a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18b2e06f67af678bf0262c0d4ec66dd4bb6893179ea4cfc1a0173697b928020",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-04-27T09:45:02Z",
    "title_canon_sha256": "25defb5fdfbe7b15a685a539fc441d73565d1cdf96858d0a8c60d11306176e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10420",
    "kind": "arxiv",
    "version": 1
  }
}