Pith Number

pith:I42ZIACZ

pith:2011:I42ZIACZDCYWIOK2DGQQR2Q6MU

not attested not anchored not stored refs pending

The effect of a massive object on an expanding universe

Anthony N. Lasenby, Michael P. Hobson, Roshina Nandra

arxiv:1104.4447 v3 · 2011-04-22 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I42ZIACZDCYWIOK2DGQQR2Q6MU}

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

2 papers in Pith

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

Dynamical black holes in the inflationary epoch

Receipt and verification

First computed	2026-05-18T02:02:16.223842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

473594005918b164395a19a108ea1e652c88e3f18bd87ee53d6fef6712618530

Aliases

arxiv: 1104.4447 · arxiv_version: 1104.4447v3 · doi: 10.48550/arxiv.1104.4447 · pith_short_12: I42ZIACZDCYW · pith_short_16: I42ZIACZDCYWIOK2 · pith_short_8: I42ZIACZ

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/I42ZIACZDCYWIOK2DGQQR2Q6MU \
  | 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: 473594005918b164395a19a108ea1e652c88e3f18bd87ee53d6fef6712618530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52caf3f5684d4cf4c9a2cbb3fd0f7a9dd92ace9ce723ff3d7316694c141083b1",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-22T14:25:38Z",
    "title_canon_sha256": "3c1168eea554640c675cd7dc523c2188f6b436297692db109dc0cd7bf5fc3b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4447",
    "kind": "arxiv",
    "version": 3
  }
}