Pith Number

pith:5MC7BL22

pith:1997:5MC7BL22SXYUNPXO3PF3QIIJ72

not attested not anchored not stored refs pending

Averaging in Cosmology

Jelle Boersma

arxiv:gr-qc/9711057 v1 · 1997-11-19 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MC7BL22SXYUNPXO3PF3QIIJ72}

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

Scalar-tensor theories at different scales: averaging the scalar sector

Receipt and verification

First computed	2026-07-04T16:04:41.303029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb05f0af5a95f146beeedbcbb82109fea07253d949e59e6af0cd4c6aa0a4c3b0

Aliases

arxiv: gr-qc/9711057 · arxiv_version: gr-qc/9711057v1 · doi: 10.48550/arxiv.gr-qc/9711057 · pith_short_12: 5MC7BL22SXYU · pith_short_16: 5MC7BL22SXYUNPXO · pith_short_8: 5MC7BL22

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/5MC7BL22SXYUNPXO3PF3QIIJ72 \
  | 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: eb05f0af5a95f146beeedbcbb82109fea07253d949e59e6af0cd4c6aa0a4c3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024701f25d618f141ee7e550d4d86254426c4e0f4f7ad711e2201b1109d23d3a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-11-19T13:31:23Z",
    "title_canon_sha256": "d11a69d8816618adad6ea1a4401524ee596c381438342c481b896dd5d4e96b55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9711057",
    "kind": "arxiv",
    "version": 1
  }
}