Pith Number

pith:XN7QWOJ7

pith:2025:XN7QWOJ7DX5YYSLZPQE6KC6TXU

not attested not anchored not stored refs pending

Determining the Milky Way gravitational potential without selection functions

2) ((1) Max-Planck-Institut f\"ur Astronomie, (2) Westlake University, China), Department of Astronomy, Germany, Gregory Green (1, Hangzhou, Heidelberg, Taavet Kalda (1)

arxiv:2512.02115 v2 · 2025-12-01 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XN7QWOJ7DX5YYSLZPQE6KC6TXU}

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	2026-06-23T02:12:35.739683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb7f0b393f1dfb8c49797c09e50bd3bd2c6f3f414d7528bc79c2c85ebc6f3494

Aliases

arxiv: 2512.02115 · arxiv_version: 2512.02115v2 · doi: 10.48550/arxiv.2512.02115 · pith_short_12: XN7QWOJ7DX5Y · pith_short_16: XN7QWOJ7DX5YYSLZ · pith_short_8: XN7QWOJ7

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/XN7QWOJ7DX5YYSLZPQE6KC6TXU \
  | 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: bb7f0b393f1dfb8c49797c09e50bd3bd2c6f3f414d7528bc79c2c85ebc6f3494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a955aeb074518c8089e24dcaa77bb9570ec1e1a660f2681e372efd98bb3f848",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2025-12-01T19:00:02Z",
    "title_canon_sha256": "b19384c9dbd17ecd176d51d6a050700536da55149933eaf73cafc008e2a3a4a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.02115",
    "kind": "arxiv",
    "version": 2
  }
}