Pith Number

pith:5T3B75YG

pith:1997:5T3B75YGLBLUJAYTLRJU6GUZKZ

not attested not anchored not stored refs pending

The Optical Properties of Gravitational Lens Galaxies as a Probe of Galaxy Structure and Evolution

C.R. Keeton, C.S. Kochanek, E.E. Falco (Harvard-Smithsonian Center for Astrophysics)

arxiv:astro-ph/9708161 v1 · 1997-08-18 · 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{5T3B75YGLBLUJAYTLRJU6GUZKZ}

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

Astrophysical environment around a black hole in the braneworld and its optical signatures

Receipt and verification

First computed	2026-07-04T17:22:36.582949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecf61ff70658574483135c534f1a9956653d3cd2af07e3895d3a00cbb1396a25

Aliases

arxiv: astro-ph/9708161 · arxiv_version: astro-ph/9708161v1 · doi: 10.48550/arxiv.astro-ph/9708161 · pith_short_12: 5T3B75YGLBLU · pith_short_16: 5T3B75YGLBLUJAYT · pith_short_8: 5T3B75YG

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/5T3B75YGLBLUJAYTLRJU6GUZKZ \
  | 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: ecf61ff70658574483135c534f1a9956653d3cd2af07e3895d3a00cbb1396a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a70e78faffe9b8bbe0b7f383f0a6ce8155015f6a2ee2618261fd3e553158a6b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-08-18T17:30:55Z",
    "title_canon_sha256": "1c00c358940879ba73c0b377a0652592bc7e775de7f1ed233bed43f4b4296407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9708161",
    "kind": "arxiv",
    "version": 1
  }
}