Pith Number

pith:UH7CGVOO

pith:1997:UH7CGVOOOXS5D4LT6MYTJS7ECT

not attested not anchored not stored refs pending

Gravitational Lensing Signature of Long Cosmic Strings

Andrew A. de Laix, Lawrence M. Krauss, Tanmay Vachaspati

arxiv:astro-ph/9702033 v1 · 1997-02-03 · astro-ph · 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{UH7CGVOOOXS5D4LT6MYTJS7ECT}

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	2026-07-04T16:02:51.538205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1fe2355ce75e5d1f173f33134cbe414c09b617e840095284c63c42132db4e5d

Aliases

arxiv: astro-ph/9702033 · arxiv_version: astro-ph/9702033v1 · doi: 10.48550/arxiv.astro-ph/9702033 · pith_short_12: UH7CGVOOOXS5 · pith_short_16: UH7CGVOOOXS5D4LT · pith_short_8: UH7CGVOO

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/UH7CGVOOOXS5D4LT6MYTJS7ECT \
  | 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: a1fe2355ce75e5d1f173f33134cbe414c09b617e840095284c63c42132db4e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8016a4ce1bae761bf560b6adc9c4d3fde7d73c0f86bfc5b7866561801deb9336",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-02-03T20:04:40Z",
    "title_canon_sha256": "570065bd21f2a1ab6904bc8a98210198d177a75902f4fb8ae16e702b782c8f74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9702033",
    "kind": "arxiv",
    "version": 1
  }
}