Pith Number

pith:57QIV64B

pith:2015:57QIV64B6Z652K35FQ52Q5LB52

not attested not anchored not stored refs pending

The Case Against Dark Matter and Modified Gravity: Flat Rotation Curves Are a Rigorous Requirement in Rotating Self-Gravitating Newtonian Gaseous Disks

Demosthenes Kazanas, Dimitris M. Christodoulou

arxiv:1510.05534 v2 · 2015-10-19 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57QIV64B6Z652K35FQ52Q5LB52}

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	2026-05-18T01:13:23.995785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efe08afb81f67ddd2b7d2c3ba87561ee9f096c35f4058043efdde06361981152

Aliases

arxiv: 1510.05534 · arxiv_version: 1510.05534v2 · doi: 10.48550/arxiv.1510.05534 · pith_short_12: 57QIV64B6Z65 · pith_short_16: 57QIV64B6Z652K35 · pith_short_8: 57QIV64B

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/57QIV64B6Z652K35FQ52Q5LB52 \
  | 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: efe08afb81f67ddd2b7d2c3ba87561ee9f096c35f4058043efdde06361981152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d6f3f36de654037a6013a2da6e1844c152bf35376feb755f421549790c58405",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-10-19T15:34:11Z",
    "title_canon_sha256": "c64af01067caa721270905226ef8333248c5df2ef723db51a2eb33c97a8f2fba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05534",
    "kind": "arxiv",
    "version": 2
  }
}