Pith Number

pith:5LXRLSPV

pith:2012:5LXRLSPVQJRV4BUK4YFRIS2365

not attested not anchored not stored refs pending

Gravitational Field Equations and Theory of Dark Matter and Dark Energy

Shouhong Wang, Tian Ma

arxiv:1206.5078 v2 · 2012-06-22 · physics.gen-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LXRLSPVQJRV4BUK4YFRIS2365}

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	2026-05-18T03:15:43.884580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaef15c9f582635e068ae60b144b5bf76275648b7c1fed0e031f4353389e9397

Aliases

arxiv: 1206.5078 · arxiv_version: 1206.5078v2 · doi: 10.48550/arxiv.1206.5078 · pith_short_12: 5LXRLSPVQJRV · pith_short_16: 5LXRLSPVQJRV4BUK · pith_short_8: 5LXRLSPV

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/5LXRLSPVQJRV4BUK4YFRIS2365 \
  | 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: eaef15c9f582635e068ae60b144b5bf76275648b7c1fed0e031f4353389e9397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b6d1609f1d42ba37c389d66080aab5b44b95aafb586068b5b4c099a8b22d61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2012-06-22T08:00:23Z",
    "title_canon_sha256": "f39a50fa8e6d54a2987d26467eb23e758c372b6dcae65453048700080552a65a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5078",
    "kind": "arxiv",
    "version": 2
  }
}