Pith Number

pith:RFTUBMXP

pith:1996:RFTUBMXPZYFLIGXVEQMN3AWBOT

not attested not anchored not stored refs pending

Gravitational Lensing by Cosmic String Loops

Andrew A de Laix, Tanmay Vachaspati

arxiv:astro-ph/9605171 v1 · 1996-05-28 · astro-ph · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFTUBMXPZYFLIGXVEQMN3AWBOT}

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	2026-05-18T04:13:47.958329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

896740b2efce0ab41af52418dd82c174e132c27f8220d01b89b1eceb50e86931

Aliases

arxiv: astro-ph/9605171 · arxiv_version: astro-ph/9605171v1 · doi: 10.48550/arxiv.astro-ph/9605171 · pith_short_12: RFTUBMXPZYFL · pith_short_16: RFTUBMXPZYFLIGXV · pith_short_8: RFTUBMXP

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/RFTUBMXPZYFLIGXVEQMN3AWBOT \
  | 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: 896740b2efce0ab41af52418dd82c174e132c27f8220d01b89b1eceb50e86931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5fe0b270fb14e411e911c8c54c0435946a6fcb25fcd197f6f57cb72a65e3e73",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-05-28T17:11:10Z",
    "title_canon_sha256": "44938726afff478ea002b790aac851feb96f8bff40d3f51a406cdeead47da6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9605171",
    "kind": "arxiv",
    "version": 1
  }
}