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Pith Number

pith:OPHJHCOY

pith:2010:OPHJHCOYAT2MWVSJEESZ35YSTS
not attested not anchored not stored refs pending

U(1)-decoupling, KK and BCJ relations in $\mathcal{N}=4$ SYM

Chang-Yong Liu, Rijun Huang, Yin Jia

arxiv:1005.1821 v4 · 2010-05-11 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OPHJHCOYAT2MWVSJEESZ35YSTS}

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 2026-05-18T04:27:56.914605Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

73ce9389d804f4cb564921259df7129cbeb6c8f8f6fb42aa6db891634efb56b0

Aliases

arxiv: 1005.1821 · arxiv_version: 1005.1821v4 · doi: 10.48550/arxiv.1005.1821 · pith_short_12: OPHJHCOYAT2M · pith_short_16: OPHJHCOYAT2MWVSJ · pith_short_8: OPHJHCOY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OPHJHCOYAT2MWVSJEESZ35YSTS \
  | 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: 73ce9389d804f4cb564921259df7129cbeb6c8f8f6fb42aa6db891634efb56b0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a596f128688ae0d9b5802ef3f7da97e4982883d235f501b6d1bf7a5f04c11d28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-05-11T12:57:29Z",
    "title_canon_sha256": "97c8b1dc76037848ae5dc94b0a3e30e25f0ef8ffc4cd37bbe7b9f6a85b801fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1821",
    "kind": "arxiv",
    "version": 4
  }
}