Pith Number

pith:YW4UZXPC

pith:2011:YW4UZXPC73QM4FBVU27P7DQ4YY

not attested not anchored not stored refs pending

MD or DM? Modified dynamics at low accelerations vs dark matter

Mordehai Milgrom

arxiv:1101.5122 v1 · 2011-01-26 · 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{YW4UZXPC73QM4FBVU27P7DQ4YY}

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	2026-05-18T04:06:46.240817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5b94cdde2fee0ce1435a6beff8e1cc63e3efd33617e3753750ce5a97d1b9701

Aliases

arxiv: 1101.5122 · arxiv_version: 1101.5122v1 · doi: 10.48550/arxiv.1101.5122 · pith_short_12: YW4UZXPC73QM · pith_short_16: YW4UZXPC73QM4FBV · pith_short_8: YW4UZXPC

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/YW4UZXPC73QM4FBVU27P7DQ4YY \
  | 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: c5b94cdde2fee0ce1435a6beff8e1cc63e3efd33617e3753750ce5a97d1b9701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b3d20a692910c926a88cc6d60b1f23c55e516e6095f70e7cf911354e800b79",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-26T18:00:31Z",
    "title_canon_sha256": "6d38273512ee8ff3e2238af4b61f12d115021a4107902f0f9464ef45cbc742fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5122",
    "kind": "arxiv",
    "version": 1
  }
}