Pith Number

pith:G33YY3EY

pith:2012:G33YY3EY2GW4LVTR42NOKBWNUU

not attested not anchored not stored refs pending

Confronting MOND and TeVeS with strong gravitational lensing over galactic scales: an extended survey

Ignacio Ferreras, Mairi Sakellariadou, Muhammad Furqaan Yusaf, Nick Mavromatos

arxiv:1205.4880 v2 · 2012-05-22 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G33YY3EY2GW4LVTR42NOKBWNUU}

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	2026-05-18T01:57:24.540439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f78c6c98d1adc5d671e69ae506cda510f341c51399021a3df983d53e8bbdb1

Aliases

arxiv: 1205.4880 · arxiv_version: 1205.4880v2 · doi: 10.48550/arxiv.1205.4880 · pith_short_12: G33YY3EY2GW4 · pith_short_16: G33YY3EY2GW4LVTR · pith_short_8: G33YY3EY

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/G33YY3EY2GW4LVTR42NOKBWNUU \
  | 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: 36f78c6c98d1adc5d671e69ae506cda510f341c51399021a3df983d53e8bbdb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a60bc6e16eda658ee61e20d34ffeeab0a5a390fbfb4eba099cfeec27119644",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-22T11:04:26Z",
    "title_canon_sha256": "c27993f40d795593dea22e0ed75ce1f9ddee17ca762045883f07c61adb827912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4880",
    "kind": "arxiv",
    "version": 2
  }
}