Pith Number

pith:KCXUER4J

pith:2018:KCXUER4JSFCOUPQFQRF6BDEU4K

not attested not anchored not stored refs pending

Direct Detection of Universal Expansion by Holonomy in the McVittie Spacetime

George F.R. Ellis, Mariam Campbell, Rituparno Goswami, Tony Rothman

arxiv:1808.02963 v4 · 2018-08-08 · 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{KCXUER4JSFCOUPQFQRF6BDEU4K}

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	2026-05-17T23:55:12.156300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50af4247899144ea3e05844be08c94e2870baa7d4d08051e78f395369009df19

Aliases

arxiv: 1808.02963 · arxiv_version: 1808.02963v4 · doi: 10.48550/arxiv.1808.02963 · pith_short_12: KCXUER4JSFCO · pith_short_16: KCXUER4JSFCOUPQF · pith_short_8: KCXUER4J

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/KCXUER4JSFCOUPQFQRF6BDEU4K \
  | 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: 50af4247899144ea3e05844be08c94e2870baa7d4d08051e78f395369009df19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e4235173514a319e563d327722e284ac64d34e0e8389a436de2c99ae043d74",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-08-08T23:22:50Z",
    "title_canon_sha256": "81356fbe0f94cf7bc9f3db7debd4655d24d74327a540fe93c4196aa78b11b883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02963",
    "kind": "arxiv",
    "version": 4
  }
}