Pith Number

pith:4ZZKBARJ

pith:2015:4ZZKBARJAMOKEPX4KQLFFESPC3

not attested not anchored not stored refs pending

Contrasting Galaxy Formation from Quantum Wave Dark Matter, $\psi$DM, with $\Lambda$CDM, using Planck and Hubble Data

Hsi-Yu Schive, Kuan-Wei Huang, Tom Broadhurst, Tzihong Chiueh

arxiv:1508.04621 v3 · 2015-08-19 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZZKBARJAMOKEPX4KQLFFESPC3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Cited by

1 paper in Pith

Probing Dark Matter Substructure with Image Number Anomaly in Strong Lensing Systems

Receipt and verification

First computed	2026-05-18T01:20:45.444073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e672a08229031ca23efc541652924f16c06305b78fb3b17fdd8a2851597b22ea

Aliases

arxiv: 1508.04621 · arxiv_version: 1508.04621v3 · doi: 10.48550/arxiv.1508.04621 · pith_short_12: 4ZZKBARJAMOK · pith_short_16: 4ZZKBARJAMOKEPX4 · pith_short_8: 4ZZKBARJ

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/4ZZKBARJAMOKEPX4KQLFFESPC3 \
  | 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: e672a08229031ca23efc541652924f16c06305b78fb3b17fdd8a2851597b22ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f05f1dddd5dfb9c92e84698224e2e5f8729e3953682c71858e207349d6bfc535",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-08-19T12:46:08Z",
    "title_canon_sha256": "effa9c055979ec233d5287172823b0864af0f78e4e7de85c64555f4a891bc226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04621",
    "kind": "arxiv",
    "version": 3
  }
}