Pith Number

pith:M2KKCOOF

pith:2019:M2KKCOOF5LFK36UQXAKJSXJIRF

not attested not anchored not stored refs pending

Dark matter -- Modified dynamics: Reaction vs. Prediction

Robert H. Sanders

arxiv:1912.00716 v1 · 2019-12-02 · astro-ph.GA · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2KKCOOF5LFK36UQXAKJSXJIRF}

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.

Cited by

1 paper in Pith

Why did the dark matter hypothesis supersede modified gravity in the 1980s?

Receipt and verification

First computed	2026-07-05T00:23:16.033087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6694a139c5eacaadfa90b814995d28895bcacf4db40d24924fe34feaf260c486

Aliases

arxiv: 1912.00716 · arxiv_version: 1912.00716v1 · doi: 10.48550/arxiv.1912.00716 · pith_short_12: M2KKCOOF5LFK · pith_short_16: M2KKCOOF5LFK36UQ · pith_short_8: M2KKCOOF

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/M2KKCOOF5LFK36UQXAKJSXJIRF \
  | 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: 6694a139c5eacaadfa90b814995d28895bcacf4db40d24924fe34feaf260c486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf3e051b02191caf03d8166ec598514897ffdf35dec8e9645528f38a16bd72c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2019-12-02T12:25:29Z",
    "title_canon_sha256": "26ce107a5921f31dd924f4e353d847fe847de07df898b1d125ed92d53d9d482e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00716",
    "kind": "arxiv",
    "version": 1
  }
}