Pith Number

pith:2UPAOMSK

pith:2011:2UPAOMSK5VSGGXZ6MIWPY7ROHL

not attested not anchored not stored refs pending

Cosmic Acceleration from Causal Backreaction in a Smoothly Inhomogeneous Universe

Brett Bochner

arxiv:1109.4686 v3 · 2011-09-22 · astro-ph.CO · 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{2UPAOMSK5VSGGXZ6MIWPY7ROHL}

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	2026-05-18T03:53:43.723140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51e07324aed64635f3e622cfc7e2e3ace1355bac482ce22ff36461ce6626b68

Aliases

arxiv: 1109.4686 · arxiv_version: 1109.4686v3 · doi: 10.48550/arxiv.1109.4686 · pith_short_12: 2UPAOMSK5VSG · pith_short_16: 2UPAOMSK5VSGGXZ6 · pith_short_8: 2UPAOMSK

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/2UPAOMSK5VSGGXZ6MIWPY7ROHL \
  | 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: d51e07324aed64635f3e622cfc7e2e3ace1355bac482ce22ff36461ce6626b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "389c3341047849f39432f219d6700e45b5e2062ee8391a2d98a12186ce1f52a0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-22T01:31:06Z",
    "title_canon_sha256": "8c2d71fca888c5a42d64c44025aab96ad59c9ff53b0fd3b4dfc47d1c642d1385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4686",
    "kind": "arxiv",
    "version": 3
  }
}