Pith Number

pith:GPUYI2FH

pith:1997:GPUYI2FHEWQUDSVRMWJNH757KS

not attested not anchored not stored refs pending

Liquid Mirror Telescopes: A Review

E. F. Borra

arxiv:astro-ph/9706098 v1 · 1997-06-10 · astro-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{GPUYI2FHEWQUDSVRMWJNH757KS}

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	2026-07-04T14:15:09.425408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e98468a725a141cab16592d3ffbf54a0febbfccd2e6041685694f966388b5c

Aliases

arxiv: astro-ph/9706098 · arxiv_version: astro-ph/9706098v1 · doi: 10.48550/arxiv.astro-ph/9706098 · pith_short_12: GPUYI2FHEWQU · pith_short_16: GPUYI2FHEWQUDSVR · pith_short_8: GPUYI2FH

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/GPUYI2FHEWQUDSVRMWJNH757KS \
  | 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: 33e98468a725a141cab16592d3ffbf54a0febbfccd2e6041685694f966388b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f1184b53e3660d5e5a82a5fbcc55902e9ceebe2f855804283473a159c5773b0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-06-10T17:55:38Z",
    "title_canon_sha256": "cacbf60c0299998df44b87cbc1c1e227f2d526129c67c01cacdc5702861e4aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9706098",
    "kind": "arxiv",
    "version": 1
  }
}