Pith Number

pith:XRYQC7VP

pith:2000:XRYQC7VPOFYXPCQB2QWPCTVCOZ

not attested not anchored not stored refs pending

Spacetime perspective of Schwarzschild lensing

Ezra T. Newman, Simonetta Frittelli, Thomas P. Kling

arxiv:gr-qc/0001037 v1 · 2000-01-13 · 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{XRYQC7VPOFYXPCQB2QWPCTVCOZ}

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.

Cited by

1 paper in Pith

Observational constraints on nonlocal black holes via gravitational lensing

Receipt and verification

First computed	2026-07-04T16:19:35.240078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc71017eaf7171778a01d42cf14ea2767d507b4ea7570fc039b520d4eb39917d

Aliases

arxiv: gr-qc/0001037 · arxiv_version: gr-qc/0001037v1 · doi: 10.48550/arxiv.gr-qc/0001037 · pith_short_12: XRYQC7VPOFYX · pith_short_16: XRYQC7VPOFYXPCQB · pith_short_8: XRYQC7VP

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/XRYQC7VPOFYXPCQB2QWPCTVCOZ \
  | 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: bc71017eaf7171778a01d42cf14ea2767d507b4ea7570fc039b520d4eb39917d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c634a08f0b9c4610a09daef28a9ff9968030b2aab6e6f198257700bc65cb20c8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-01-13T21:39:21Z",
    "title_canon_sha256": "61ea9835580fa37842d3ef348e581772ae6dc2f4c70077776402363a1061007c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0001037",
    "kind": "arxiv",
    "version": 1
  }
}