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Pith Number

pith:WARKOMIH

pith:2016:WARKOMIHDMV4YHCOMBAKHA7LSD
not attested not anchored not stored refs pending

Ultra faint dwarf galaxies: an arena for testing dark matter versus modified gravity

Mustapha Ishak, Weikang Lin

arxiv:1604.00950 v2 · 2016-04-04 · astro-ph.CO · astro-ph.GA · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WARKOMIHDMV4YHCOMBAKHA7LSD}

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 2026-05-18T00:57:44.066648Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b022a731071b2bcc1c4e6040a383eb90c3a5e354c69493c06fc05bfb5c239df3

Aliases

arxiv: 1604.00950 · arxiv_version: 1604.00950v2 · doi: 10.48550/arxiv.1604.00950 · pith_short_12: WARKOMIHDMV4 · pith_short_16: WARKOMIHDMV4YHCO · pith_short_8: WARKOMIH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WARKOMIHDMV4YHCOMBAKHA7LSD \
  | 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: b022a731071b2bcc1c4e6040a383eb90c3a5e354c69493c06fc05bfb5c239df3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "90914918faf3c1bccb9581c02aa3f123faf491e6fb3899389f9a4516274d3355",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-04T17:10:22Z",
    "title_canon_sha256": "0044ae07b0708dc76befbd62be8207c64e3a5d4b896cccbd51d08226546b473f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00950",
    "kind": "arxiv",
    "version": 2
  }
}