Pith Number

pith:WBSNR3AF

pith:2015:WBSNR3AFNXBL4UTQHWSBLO5UQP

not attested not anchored not stored refs pending

Ultra-diffuse cluster galaxies as key to the MOND cluster conundrum

Mordehai Milgrom

arxiv:1508.04001 v2 · 2015-08-17 · astro-ph.GA · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBSNR3AFNXBL4UTQHWSBLO5UQP}

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	2026-05-18T01:29:20.521759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b064d8ec056dc2be52703da415bbb483c85496486cb90fc5959dba1d183d0730

Aliases

arxiv: 1508.04001 · arxiv_version: 1508.04001v2 · doi: 10.48550/arxiv.1508.04001 · pith_short_12: WBSNR3AFNXBL · pith_short_16: WBSNR3AFNXBL4UTQ · pith_short_8: WBSNR3AF

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/WBSNR3AFNXBL4UTQHWSBLO5UQP \
  | 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: b064d8ec056dc2be52703da415bbb483c85496486cb90fc5959dba1d183d0730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f907f0d61fbb91503d08c016b5a1fc48ea54c78452507b943524b91ce935cbfe",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-08-17T12:37:11Z",
    "title_canon_sha256": "cba8e4d3c51c92a5e6bcbe89995a0d65a1b8b7d6f9843ecae85119c3759233e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04001",
    "kind": "arxiv",
    "version": 2
  }
}