Pith. sign in
Pith Number

pith:5R3MBILS

pith:1993:5R3MBILSZP6JY4FV7OPKKZJG32
not attested not anchored not stored refs pending

A gravitational lens model for B1422+231

M. Bartelmann, P. Schneider, R. Kormann

arxiv:astro-ph/9311011 v1 · 1993-11-02 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5R3MBILSZP6JY4FV7OPKKZJG32}

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

Receipt and verification
First computed 2026-07-04T14:14:26.633790Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ec76c0a172cbfc9c70b5fb9ea56526de98c4b0d7399dac5a3ecd0bcc62e52e1c

Aliases

arxiv: astro-ph/9311011 · arxiv_version: astro-ph/9311011v1 · doi: 10.48550/arxiv.astro-ph/9311011 · pith_short_12: 5R3MBILSZP6J · pith_short_16: 5R3MBILSZP6JY4FV · pith_short_8: 5R3MBILS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5R3MBILSZP6JY4FV7OPKKZJG32 \
  | 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: ec76c0a172cbfc9c70b5fb9ea56526de98c4b0d7399dac5a3ecd0bcc62e52e1c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cf96209ea72cdc66aaad36d97ffb2c2534c994e1ea9609582ee72b12ca473765",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-11-02T08:39:03Z",
    "title_canon_sha256": "f6f310e5d5cb99c81c864e30e453f57403e6f62ab99eeae817441dc405558a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9311011",
    "kind": "arxiv",
    "version": 1
  }
}