Pith Number

pith:HSG4PW3G

pith:2011:HSG4PW3GUSYFU5BYAJGJBLBWNH

not attested not anchored not stored refs pending

Open FRW universes and self-acceleration from nonlinear massive gravity

A.Emir Gumrukcuoglu, Chunshan Lin, Shinji Mukohyama

arxiv:1109.3845 v2 · 2011-09-18 · hep-th · 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{HSG4PW3GUSYFU5BYAJGJBLBWNH}

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	2026-05-18T02:25:11.796380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c8dc7db66a4b05a7438024c90ac3669e72b36eaf960f784d62a7a14c16e660b

Aliases

arxiv: 1109.3845 · arxiv_version: 1109.3845v2 · doi: 10.48550/arxiv.1109.3845 · pith_short_12: HSG4PW3GUSYF · pith_short_16: HSG4PW3GUSYFU5BY · pith_short_8: HSG4PW3G

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/HSG4PW3GUSYFU5BYAJGJBLBWNH \
  | 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: 3c8dc7db66a4b05a7438024c90ac3669e72b36eaf960f784d62a7a14c16e660b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67d6663e94e2c13c5ea40326a378826bb379adb8f5e18b09333aae633a1c6a6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-18T05:26:26Z",
    "title_canon_sha256": "238daf95e60acf827a972fd763e781190a1d61fef01153ad7f35fd6b4b096c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3845",
    "kind": "arxiv",
    "version": 2
  }
}