Pith Number

pith:ZSKKSPGD

pith:2018:ZSKKSPGD6BXKQJXKZYIBAMUFD5

not attested not anchored not stored refs pending

MOND in galaxy groups

Mordehai Milgrom

arxiv:1810.03089 v2 · 2018-10-07 · 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{ZSKKSPGD6BXKQJXKZYIBAMUFD5}

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	2026-05-17T23:59:22.222521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc94a93cc3f06ea826eace101032851f4ed4e3e812781499706427755a952d27

Aliases

arxiv: 1810.03089 · arxiv_version: 1810.03089v2 · doi: 10.48550/arxiv.1810.03089 · pith_short_12: ZSKKSPGD6BXK · pith_short_16: ZSKKSPGD6BXKQJXK · pith_short_8: ZSKKSPGD

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/ZSKKSPGD6BXKQJXKZYIBAMUFD5 \
  | 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: cc94a93cc3f06ea826eace101032851f4ed4e3e812781499706427755a952d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b1c5a67038b509ef822ed7c59a9e3425bef617f7fc149ae372a0ae4ed237d4",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2018-10-07T06:14:02Z",
    "title_canon_sha256": "a728aa8d373573bce18bcdeed1f5b24114d7d0533f6e3a3ce399586597587667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03089",
    "kind": "arxiv",
    "version": 2
  }
}