Pith Number

pith:MW3KSBX5

pith:2017:MW3KSBX5FRUH24GB5BRX6Q6RLM

not attested not anchored not stored refs pending

Generalizing MOND to explain the missing mass in galaxy clusters

Alistair Hodson, Hongsheng Zhao

arxiv:1701.03369 v1 · 2017-01-12 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MW3KSBX5FRUH24GB5BRX6Q6RLM}

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	2026-05-18T00:50:43.813662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65b6a906fd2c687d70c1e8637f43d15b371f0507fee9c24074b46985212ec97b

Aliases

arxiv: 1701.03369 · arxiv_version: 1701.03369v1 · doi: 10.48550/arxiv.1701.03369 · pith_short_12: MW3KSBX5FRUH · pith_short_16: MW3KSBX5FRUH24GB · pith_short_8: MW3KSBX5

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/MW3KSBX5FRUH24GB5BRX6Q6RLM \
  | 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: 65b6a906fd2c687d70c1e8637f43d15b371f0507fee9c24074b46985212ec97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18e7088cfe412895616b2016fe7a1a3ab75c71aaf173f370d647dd2ffbf9788",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-01-12T15:10:20Z",
    "title_canon_sha256": "133af7c412340663d292a32de9ade331cc1c97245086b2c215cb3c087e10661b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03369",
    "kind": "arxiv",
    "version": 1
  }
}