Pith Number

pith:WWOPZWZA

pith:2017:WWOPZWZAQXL6AJTS3H3ICLOVKT

not attested not anchored not stored refs pending

Wave-theoretical description of the solar gravitational lens

Slava G. Turyshev

arxiv:1703.05783 v2 · 2017-03-16 · 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{WWOPZWZAQXL6AJTS3H3ICLOVKT}

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	2026-05-18T00:45:53.861090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59cfcdb2085d7e02672d9f6812dd554ffec26b65571f1b9641db884cf259dbb

Aliases

arxiv: 1703.05783 · arxiv_version: 1703.05783v2 · doi: 10.48550/arxiv.1703.05783 · pith_short_12: WWOPZWZAQXL6 · pith_short_16: WWOPZWZAQXL6AJTS · pith_short_8: WWOPZWZA

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/WWOPZWZAQXL6AJTS3H3ICLOVKT \
  | 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: b59cfcdb2085d7e02672d9f6812dd554ffec26b65571f1b9641db884cf259dbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "351902572050798685aa6b417d362d1cbc2f317267e7fbccfd26681cb9607089",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-03-16T18:16:00Z",
    "title_canon_sha256": "5f0e2e4f93463f4759ff18df9f0cc4a651cafd664e4b646dca003798d0b93d00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05783",
    "kind": "arxiv",
    "version": 2
  }
}