Pith Number

pith:XXWLN6QZ

pith:2012:XXWLN6QZT6Y2ILRZWGWM7PQHFY

not attested not anchored not stored refs pending

Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution

Mark Wyman, Pierre Gratia, Wayne Hu

arxiv:1205.4241 v2 · 2012-05-18 · 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{XXWLN6QZT6Y2ILRZWGWM7PQHFY}

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	2026-05-18T03:40:16.135918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdecb6fa199fb1a42e39b1accfbe072e05c0afb3ff340acc9efcae4bfc5f161a

Aliases

arxiv: 1205.4241 · arxiv_version: 1205.4241v2 · doi: 10.48550/arxiv.1205.4241 · pith_short_12: XXWLN6QZT6Y2 · pith_short_16: XXWLN6QZT6Y2ILRZ · pith_short_8: XXWLN6QZ

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/XXWLN6QZT6Y2ILRZWGWM7PQHFY \
  | 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: bdecb6fa199fb1a42e39b1accfbe072e05c0afb3ff340acc9efcae4bfc5f161a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8ba2746b66bec2351ee6cdfbca1aeeb5ac30e6fe3bf8432d42bceeb4a90b4c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-05-18T20:00:02Z",
    "title_canon_sha256": "6a5bc1eb6e6d105be43fa8d6f0e6acdd168731744a84abcec5467951d87e8c99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4241",
    "kind": "arxiv",
    "version": 2
  }
}