Pith Number

pith:KKZUOHLS

pith:2021:KKZUOHLSDQP6GHBWAMIUZ2FQH6

not attested not anchored not stored refs pending

Stars lensed by the supermassive black hole in the center of the Milky Way: predictions for ELT, TMT, GMT, and JWST

Micha{\l} J. Micha{\l}owski, Przemek Mr\'oz

arxiv:2107.00659 v1 · 2021-07-01 · astro-ph.GA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKZUOHLSDQP6GHBWAMIUZ2FQH6}

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	2026-07-05T02:59:24.101570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b3471d721c1fe31c3603114ce8b03fb50f987bd18e39a145974ef0323737a7

Aliases

arxiv: 2107.00659 · arxiv_version: 2107.00659v1 · doi: 10.48550/arxiv.2107.00659 · pith_short_12: KKZUOHLSDQP6 · pith_short_16: KKZUOHLSDQP6GHBW · pith_short_8: KKZUOHLS

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/KKZUOHLSDQP6GHBWAMIUZ2FQH6 \
  | 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: 52b3471d721c1fe31c3603114ce8b03fb50f987bd18e39a145974ef0323737a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ac02f6ec94d7a9b27af8dcd0fa795d3e8bd1c85c159cffd7272595ba3daab9d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-07-01T18:00:02Z",
    "title_canon_sha256": "a0ea40edbc196cc59eb073e39aeb3db0786f7aec94e6079231d58ad9ce6c28db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.00659",
    "kind": "arxiv",
    "version": 1
  }
}