Pith. sign in
Pith Number

pith:ZS42T2W3

pith:2024:ZS42T2W3A3B4SQN5DCLEOQCKA2
not attested not anchored not stored refs pending

Dark matter fraction derived from the M31 rotation curve

F. Hammer, G. A. Mamon, H. F. Wang, I. Akib, J. L. Wang, L. Chemin, P. Amram, Y. B. Yang, Y. J. Jiao

arxiv:2412.02737 v5 · 2024-12-03 · astro-ph.GA · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZS42T2W3A3B4SQN5DCLEOQCKA2}

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 2026-07-05T10:11:29.571763Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ccb9a9eadb06c3c941bd189647404a06985099b68729f4ad71e5771a04330264

Aliases

arxiv: 2412.02737 · arxiv_version: 2412.02737v5 · doi: 10.48550/arxiv.2412.02737 · pith_short_12: ZS42T2W3A3B4 · pith_short_16: ZS42T2W3A3B4SQN5 · pith_short_8: ZS42T2W3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZS42T2W3A3B4SQN5DCLEOQCKA2 \
  | 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: ccb9a9eadb06c3c941bd189647404a06985099b68729f4ad71e5771a04330264
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "63b9e0cc8ac1b87787bac9bc921d72f8743a56668634a8a1f6fe96da0b4d505a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2024-12-03T19:00:00Z",
    "title_canon_sha256": "ead4f932897e95d28d720a7889c5622d31b4ecb959472411ade68111f3ad95a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02737",
    "kind": "arxiv",
    "version": 5
  }
}