Pith Number

pith:7MDHK4EE

pith:2018:7MDHK4EECZWIHDVOOBX4JI7UBM

not attested not anchored not stored refs pending

Gravitational birefringence of light in Schwarzschild spacetime

Christian Duval, Loic Marsot, Thomas Schucker

arxiv:1812.03014 v2 · 2018-12-07 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MDHK4EECZWIHDVOOBX4JI7UBM}

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	2026-05-17T23:41:30.814718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb06757084166c838eae706fc4a3f40b32ec339c2a6b5c465b290969eee5b282

Aliases

arxiv: 1812.03014 · arxiv_version: 1812.03014v2 · doi: 10.48550/arxiv.1812.03014 · pith_short_12: 7MDHK4EECZWI · pith_short_16: 7MDHK4EECZWIHDVO · pith_short_8: 7MDHK4EE

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/7MDHK4EECZWIHDVOOBX4JI7UBM \
  | 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: fb06757084166c838eae706fc4a3f40b32ec339c2a6b5c465b290969eee5b282

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710863896e8a71f667ad3d96d5913692ee4a1f2f71da7fc77e35eb62aad9b4fd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-07T13:06:25Z",
    "title_canon_sha256": "229e4c69c93344fffeb00c867308ad7c01159225a423ed1a145ef8aa53c11a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03014",
    "kind": "arxiv",
    "version": 2
  }
}