Pith Number

pith:OZAPYYCY

pith:2009:OZAPYYCYBLFETFUNQSUWPFK4SO

not attested not anchored not stored refs pending

Einstein's Theory of Gravity and the Problem of Missing Mass

Glenn Starkmann (CWRU), Pedro G. Ferreira (Oxford)

arxiv:0911.1212 v1 · 2009-11-06 · astro-ph.CO · 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{OZAPYYCYBLFETFUNQSUWPFK4SO}

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	2026-05-18T02:34:11.772849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7640fc60580aca49968d84a967955c93b311d1175fed4dd62b1422be86c58e56

Aliases

arxiv: 0911.1212 · arxiv_version: 0911.1212v1 · doi: 10.48550/arxiv.0911.1212 · pith_short_12: OZAPYYCYBLFE · pith_short_16: OZAPYYCYBLFETFUN · pith_short_8: OZAPYYCY

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/OZAPYYCYBLFETFUNQSUWPFK4SO \
  | 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: 7640fc60580aca49968d84a967955c93b311d1175fed4dd62b1422be86c58e56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125d7d045c57fa597e2ecae1daf5f92c7e372ac5a66c165be9386594ee1b58ba",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-11-06T10:16:10Z",
    "title_canon_sha256": "a4efb4d7e032cb289c0e3ca4249bb3283ddb045bb2c138ac530cb4dd5994f8af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1212",
    "kind": "arxiv",
    "version": 1
  }
}