Pith Number

pith:QGCDTSEU

pith:2012:QGCDTSEUODB4DQWWJLOC3YCDMF

not attested not anchored not stored refs pending

How the expansion of the universe determines the causal structure of McVittie spacetimes

Alan M. da Silva, Daniel C. Guariento, Michele Fontanini

arxiv:1212.0155 v2 · 2012-12-01 · gr-qc · astro-ph.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGCDTSEUODB4DQWWJLOC3YCDMF}

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.

Cited by

1 paper in Pith

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Receipt and verification

First computed	2026-05-18T03:29:40.483820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

818439c89470c3c1c2d64adc2de0436162bfb8ce954d280ad529be0f7a902d71

Aliases

arxiv: 1212.0155 · arxiv_version: 1212.0155v2 · doi: 10.48550/arxiv.1212.0155 · pith_short_12: QGCDTSEUODB4 · pith_short_16: QGCDTSEUODB4DQWW · pith_short_8: QGCDTSEU

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/QGCDTSEUODB4DQWWJLOC3YCDMF \
  | 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: 818439c89470c3c1c2d64adc2de0436162bfb8ce954d280ad529be0f7a902d71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69068a225f2c3e2fa3ecf5376aeeac7558c2563d546df2a875a070b1610029e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-01T20:31:37Z",
    "title_canon_sha256": "4bd01df2b8f7887152e3e57ff273d725d15247d0cc4119e24d2077983210725c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0155",
    "kind": "arxiv",
    "version": 2
  }
}