Pith Number

pith:VDAUCAP2

pith:2016:VDAUCAP2QZ7VVUT2UTVFAQ2XGX

not attested not anchored not stored refs pending

MOND impact on and of the recently updated mass-discrepancy-acceleration relation

Mordehai Milgrom

arxiv:1609.06642 v3 · 2016-09-21 · astro-ph.GA · astro-ph.CO · 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{VDAUCAP2QZ7VVUT2UTVFAQ2XGX}

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	2026-05-18T01:02:58.731239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8c14101fa867f5ad27aa4ea50435735c966f38d5d1f70976fd80e282fd485a9

Aliases

arxiv: 1609.06642 · arxiv_version: 1609.06642v3 · doi: 10.48550/arxiv.1609.06642 · pith_short_12: VDAUCAP2QZ7V · pith_short_16: VDAUCAP2QZ7VVUT2 · pith_short_8: VDAUCAP2

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/VDAUCAP2QZ7VVUT2UTVFAQ2XGX \
  | 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: a8c14101fa867f5ad27aa4ea50435735c966f38d5d1f70976fd80e282fd485a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5eb0193986b4fe1f1089d13b8e38bb53b50ec2ffcfb33f616fcfdef2efb62c5",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-09-21T17:12:06Z",
    "title_canon_sha256": "034345819c01c1d199a578fa2b184463309b005006cc44135c887ac41ad82528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06642",
    "kind": "arxiv",
    "version": 3
  }
}