Pith Number

pith:CNXBDLHF

pith:2018:CNXBDLHFUPBETASYQ2GE3TT6FG

not attested not anchored not stored refs pending

Higher-order geometrical optics for electromagnetic waves on a curved spacetime

Sam R Dolan

arxiv:1801.02273 v3 · 2018-01-07 · gr-qc · astro-ph.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CNXBDLHFUPBETASYQ2GE3TT6FG}

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	2026-05-18T00:12:13.963983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

136e11ace5a3c2498258868c4dce7e29a3383ebf47d40a96af436681fc9d4a11

Aliases

arxiv: 1801.02273 · arxiv_version: 1801.02273v3 · doi: 10.48550/arxiv.1801.02273 · pith_short_12: CNXBDLHFUPBE · pith_short_16: CNXBDLHFUPBETASY · pith_short_8: CNXBDLHF

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/CNXBDLHFUPBETASYQ2GE3TT6FG \
  | 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: 136e11ace5a3c2498258868c4dce7e29a3383ebf47d40a96af436681fc9d4a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acda38b95dbbb695601f25c01d6314261b6f0135ae65cb61cd5f8256d2318f9c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-01-07T23:33:12Z",
    "title_canon_sha256": "f345f2362d5d117777e6adf11a3b5b06b3965b2e5d3db03a28765309b5be4975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02273",
    "kind": "arxiv",
    "version": 3
  }
}