Pith Number

pith:LH4LRZFZ

pith:2012:LH4LRZFZQNLXNLB62RJLN7EQG4

not attested not anchored not stored refs pending

Cosmic Acceleration from Causal Backreaction with Recursive Nonlinearities

Brett Bochner

arxiv:1206.5056 v1 · 2012-06-22 · 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{LH4LRZFZQNLXNLB62RJLN7EQG4}

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	2026-05-18T03:09:34.170001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f8b8e4b9835776ac3ed452b6fc90370849d3230e7fc2df1ae00ecae5a01c1f

Aliases

arxiv: 1206.5056 · arxiv_version: 1206.5056v1 · doi: 10.48550/arxiv.1206.5056 · pith_short_12: LH4LRZFZQNLX · pith_short_16: LH4LRZFZQNLXNLB6 · pith_short_8: LH4LRZFZ

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/LH4LRZFZQNLXNLB62RJLN7EQG4 \
  | 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: 59f8b8e4b9835776ac3ed452b6fc90370849d3230e7fc2df1ae00ecae5a01c1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfd38f27cd5b1fa63dbccbcdf7ccc9b5da36b24cc575a4a0414d6d25b6981f91",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-22T05:28:33Z",
    "title_canon_sha256": "8272fcfc9108e5f696123b099b007f7a0700d272b57888d0ec9812f6b2cf00d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5056",
    "kind": "arxiv",
    "version": 1
  }
}