Pith. sign in
Pith Number

pith:LJUN3F3E

pith:2024:LJUN3F3E43LZKKCKLAMBRFWRWW
not attested not anchored not stored refs pending

Why do galaxies have extended flat rotation curves?

Bruce Hoeneisen

arxiv:2412.17869 v1 · 2024-12-21 · astro-ph.GA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LJUN3F3E43LZKKCKLAMBRFWRWW}

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 2026-07-05T09:53:30.313768Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5a68dd9764e6d795284a58181896d1b58b1765967d0dc62461741211dcd516c7

Aliases

arxiv: 2412.17869 · arxiv_version: 2412.17869v1 · doi: 10.48550/arxiv.2412.17869 · pith_short_12: LJUN3F3E43LZ · pith_short_16: LJUN3F3E43LZKKCK · pith_short_8: LJUN3F3E
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LJUN3F3E43LZKKCKLAMBRFWRWW \
  | 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: 5a68dd9764e6d795284a58181896d1b58b1765967d0dc62461741211dcd516c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e0d5065ad42bba49cae8161e7d9e7a775094dbb33d80eb09b53673862365e356",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2024-12-21T14:52:26Z",
    "title_canon_sha256": "897b1b7564b5ddd18b14dbe7c8ca557385cca5cddfe514a0dfc4621e2b36c32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17869",
    "kind": "arxiv",
    "version": 1
  }
}