Pith Number

pith:OM776ACG

pith:2011:OM776ACGEB6SGGPKG45WWMRAZB

not attested not anchored not stored refs pending

Galaxy Rotation Curves from General Relativity with Infrared Renormalization Group Effects

Davi C. Rodrigues, Ilya L. Shapiro, Patricio S. Letelier

arxiv:1102.2188 v1 · 2011-02-10 · astro-ph.CO · 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{OM776ACGEB6SGGPKG45WWMRAZB}

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	2026-05-18T04:29:34.089408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733fff0046207d2319ea373b6b3220c8777d2bc43a63902d8ce2fcb21db777e9

Aliases

arxiv: 1102.2188 · arxiv_version: 1102.2188v1 · doi: 10.48550/arxiv.1102.2188 · pith_short_12: OM776ACGEB6S · pith_short_16: OM776ACGEB6SGGPK · pith_short_8: OM776ACG

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/OM776ACGEB6SGGPKG45WWMRAZB \
  | 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: 733fff0046207d2319ea373b6b3220c8777d2bc43a63902d8ce2fcb21db777e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66fb8a9123a9daa5eba0529ad2cf278788f226aa150de979bb9d831dd0d35de7",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-02-10T17:53:34Z",
    "title_canon_sha256": "4d32ddac15f6c6c8065e38886e50d5f81c121fab3effca010fc3e80d7c30f637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2188",
    "kind": "arxiv",
    "version": 1
  }
}