Pith Number

pith:QPGGNNHF

pith:2012:QPGGNNHFRK7NQNS7V4ACWCMFPJ

not attested not anchored not stored refs pending

Dark matter in galaxies according to the tensor-four-scalars theory III

G\"unter Scharf

arxiv:1205.4309 v1 · 2012-05-19 · 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{QPGGNNHFRK7NQNS7V4ACWCMFPJ}

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	2026-05-18T03:55:13.456617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83cc66b4e58abed8365faf002b09857a774615a00d977a3b149eb8b6c3fcf707

Aliases

arxiv: 1205.4309 · arxiv_version: 1205.4309v1 · doi: 10.48550/arxiv.1205.4309 · pith_short_12: QPGGNNHFRK7N · pith_short_16: QPGGNNHFRK7NQNS7 · pith_short_8: QPGGNNHF

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/QPGGNNHFRK7NQNS7V4ACWCMFPJ \
  | 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: 83cc66b4e58abed8365faf002b09857a774615a00d977a3b149eb8b6c3fcf707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0b3034fa5350cae4be20b51bfae462342d0171648b100dac7dd931290b93a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-05-19T09:02:34Z",
    "title_canon_sha256": "6b37543be05c736bd36139098535dc38b2e9743210dee0fb01dc471e641cfaa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4309",
    "kind": "arxiv",
    "version": 1
  }
}