Pith Number

pith:4OWJXCWG

pith:2011:4OWJXCWGQKDV72FXDU3DFW56DX

not attested not anchored not stored refs pending

Quadratic Gravitational Lagrangian with Torsion Can Give Possible Explanations of the Form of Galactic Rotation Curves, of the Amount of Intergalactic Lensings, and of the Accelerating Expansion of the Universe

Wai Bong Yeung, Yi Yang

arxiv:1111.7062 v2 · 2011-11-30 · physics.gen-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{4OWJXCWGQKDV72FXDU3DFW56DX}

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	2026-05-18T03:55:56.464755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ac9b8ac682875fe8b71d3632dbbe1dec305a73c6b61056ef4e058f9555191c

Aliases

arxiv: 1111.7062 · arxiv_version: 1111.7062v2 · doi: 10.48550/arxiv.1111.7062 · pith_short_12: 4OWJXCWGQKDV · pith_short_16: 4OWJXCWGQKDV72FX · pith_short_8: 4OWJXCWG

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/4OWJXCWGQKDV72FXDU3DFW56DX \
  | 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: e3ac9b8ac682875fe8b71d3632dbbe1dec305a73c6b61056ef4e058f9555191c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "719b04f841b25c8645dd923ca9bcade7d9bd46988e01795673f9aa6d657ab3a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-11-30T06:43:50Z",
    "title_canon_sha256": "67e5d8dd0471119d334a88bba63461968b888a092ec03426c2338686446578f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7062",
    "kind": "arxiv",
    "version": 2
  }
}