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Pith Number

pith:7LPTGYYP

pith:2010:7LPTGYYP4JB5V4KE5WRDJBH3M4
not attested not anchored not stored refs pending

Physical decomposition of the gauge and gravitational fields

Ben-Chao Zhu, Xiang-Song Chen

arxiv:1006.3926 v3 · 2010-06-20 · gr-qc · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7LPTGYYP4JB5V4KE5WRDJBH3M4}

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 2026-05-18T04:23:46.363084Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fadf33630fe243daf144eda23484fb6724c79856c94007ea4bfd2a8cba22b4f9

Aliases

arxiv: 1006.3926 · arxiv_version: 1006.3926v3 · doi: 10.48550/arxiv.1006.3926 · pith_short_12: 7LPTGYYP4JB5 · pith_short_16: 7LPTGYYP4JB5V4KE · pith_short_8: 7LPTGYYP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7LPTGYYP4JB5V4KE5WRDJBH3M4 \
  | 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: fadf33630fe243daf144eda23484fb6724c79856c94007ea4bfd2a8cba22b4f9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e719d5c33222129ebe5e6417cd47a96905b7fbaf5d2f8b7c8e76afcca7e0db8f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-20T11:17:07Z",
    "title_canon_sha256": "f3f8d0b18b8758c2b850f69ad274ba9f31107a9cc5ec43bbce3987fcc303be5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3926",
    "kind": "arxiv",
    "version": 3
  }
}