Pith Number

pith:GMWU63PB

pith:2018:GMWU63PBUARPLKTCT6CBPE6MUW

not attested not anchored not stored refs pending

Optical properties of the solar gravitational lens in the presence of the solar corona

Slava G. Turyshev, Viktor T. Toth

arxiv:1811.06515 v2 · 2018-11-15 · 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{GMWU63PBUARPLKTCT6CBPE6MUW}

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	2026-05-17T23:54:28.147328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332d4f6de1a022f5aa629f841793cca588df5d35be86ddbbff54dd2e726aed5a

Aliases

arxiv: 1811.06515 · arxiv_version: 1811.06515v2 · doi: 10.48550/arxiv.1811.06515 · pith_short_12: GMWU63PBUARP · pith_short_16: GMWU63PBUARPLKTC · pith_short_8: GMWU63PB

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/GMWU63PBUARPLKTCT6CBPE6MUW \
  | 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: 332d4f6de1a022f5aa629f841793cca588df5d35be86ddbbff54dd2e726aed5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2634e956299993b3d2b6235fb32068faf5a1499f8bffbb23b7b5b957e09f6c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-11-15T18:22:44Z",
    "title_canon_sha256": "3288dc14f1078cda249a83af1e2cef71da46dfc285cdc47cf4d237cbe0df67f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06515",
    "kind": "arxiv",
    "version": 2
  }
}