Pith Number

pith:YYOFQPVC

pith:2015:YYOFQPVCOVPI4W42KLKLWKTB5N

not attested not anchored not stored refs pending

Cosmological ensemble and directional averages of observables

Camille Bonvin, Chris Clarkson, Obinna Umeh, Roy Maartens, Ruth Durrer

arxiv:1504.01676 v2 · 2015-04-07 · 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{YYOFQPVCOVPI4W42KLKLWKTB5N}

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	2026-05-18T01:35:20.241559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61c583ea2755e8e5b9a52d4bb2a61eb5ec6be60fea732820f8736b94ee16a36

Aliases

arxiv: 1504.01676 · arxiv_version: 1504.01676v2 · doi: 10.48550/arxiv.1504.01676 · pith_short_12: YYOFQPVCOVPI · pith_short_16: YYOFQPVCOVPI4W42 · pith_short_8: YYOFQPVC

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/YYOFQPVCOVPI4W42KLKLWKTB5N \
  | 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: c61c583ea2755e8e5b9a52d4bb2a61eb5ec6be60fea732820f8736b94ee16a36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fd0d3ac88d71e4c0b6d1cc82afdf86d3d108c5b17cc7a91ad69bc17ba55a10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-04-07T17:19:37Z",
    "title_canon_sha256": "4c833b0c39437142eb9cf3c6b19ff83b483ac17a6ef44df942a33611857d208e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01676",
    "kind": "arxiv",
    "version": 2
  }
}