Pith Number

pith:AXMH2GM5

pith:2012:AXMH2GM5W35XMYHXCD4ROHCU3E

not attested not anchored not stored refs pending

Isotropic universe with almost scale-invariant fourth-order gravity

D. Singleton, H.-J. Schmidt

arxiv:1212.1769 v2 · 2012-12-08 · 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{AXMH2GM5W35XMYHXCD4ROHCU3E}

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	2026-05-18T03:21:21.565460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d87d199db6fb7660f710f9171c54d9002b68b6fd1e3fe75971b46fd3510b13

Aliases

arxiv: 1212.1769 · arxiv_version: 1212.1769v2 · doi: 10.48550/arxiv.1212.1769 · pith_short_12: AXMH2GM5W35X · pith_short_16: AXMH2GM5W35XMYHX · pith_short_8: AXMH2GM5

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/AXMH2GM5W35XMYHXCD4ROHCU3E \
  | 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: 05d87d199db6fb7660f710f9171c54d9002b68b6fd1e3fe75971b46fd3510b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dcda7da61a51cfa1b91da7e1526ad272799d07facc8ea611cdfe7ba241f906e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-08T08:52:35Z",
    "title_canon_sha256": "9cdebf2ee47cf201533c5288de7c587d6bf7bf7d4ceb371a77c4348b45502e44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1769",
    "kind": "arxiv",
    "version": 2
  }
}