Pith Number

pith:TCXD4BLH

pith:2011:TCXD4BLHDHGPDBIP3KHUOJNWPE

not attested not anchored not stored refs pending

The effect of an expanding universe on massive objects

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

arxiv:1104.4458 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{TCXD4BLHDHGPDBIP3KHUOJNWPE}

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	2026-05-18T02:02:16.177070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ae3e056719ccf1850fda8f4725b67928499046fa02c5b66f51064e147a31da

Aliases

arxiv: 1104.4458 · arxiv_version: 1104.4458v3 · doi: 10.48550/arxiv.1104.4458 · pith_short_12: TCXD4BLHDHGP · pith_short_16: TCXD4BLHDHGPDBIP · pith_short_8: TCXD4BLH

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/TCXD4BLHDHGPDBIP3KHUOJNWPE \
  | 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: 98ae3e056719ccf1850fda8f4725b67928499046fa02c5b66f51064e147a31da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a8ff3e0f29ae402f06350d959fa8bbf48f0243668351f29317b996b61bb4cf",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-22T14:48:37Z",
    "title_canon_sha256": "0a254c5336f3079a6c61ac21c683ab699477123693e847c70479b3b39f2a83ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4458",
    "kind": "arxiv",
    "version": 3
  }
}