Pith Number

pith:LT4XL2RK

pith:1993:LT4XL2RKJEWCC6Q6YKBTLZNDNS

not attested not anchored not stored refs pending

Dynamics with a non-standard inertia-acceleration relation: an alternative to dark matter

M. Milgrom

arxiv:astro-ph/9303012 v1 · 1993-03-23 · astro-ph · 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{LT4XL2RKJEWCC6Q6YKBTLZNDNS}

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	2026-07-04T15:18:32.746199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf975ea2a492c217a1ec28335e5a36cae44c6329f9b05e3a6a1d426f7a18609

Aliases

arxiv: astro-ph/9303012 · arxiv_version: astro-ph/9303012v1 · doi: 10.48550/arxiv.astro-ph/9303012 · pith_short_12: LT4XL2RKJEWC · pith_short_16: LT4XL2RKJEWCC6Q6 · pith_short_8: LT4XL2RK

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/LT4XL2RKJEWCC6Q6YKBTLZNDNS \
  | 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: 5cf975ea2a492c217a1ec28335e5a36cae44c6329f9b05e3a6a1d426f7a18609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a4ca164207137dd5b2ccf6bf808d86118fc3cbdbbcc05313e9f88a606c20e8",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-03-23T15:41:00Z",
    "title_canon_sha256": "90544f280d147e46a2067c059b50a8dbc13c4a7206b666472fb4e36411c55c42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9303012",
    "kind": "arxiv",
    "version": 1
  }
}