Pith Number

pith:VJF474DX

pith:2018:VJF474DXIE4SCGFLK4NEZ3ECGI

not attested not anchored not stored refs pending

More on complexity of operators in quantum field theory

Chao Niu, Cheng-Yong Zhang, Keun-Young Kim, Run-Qiu Yang, Yu-Sen An

arxiv:1809.06678 v2 · 2018-09-18 · hep-th · quant-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{VJF474DXIE4SCGFLK4NEZ3ECGI}

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	2026-05-17T23:47:20.388670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa4bcff07741392118ab571a4cec82322629f61b0f8cc98c9db6e1a92f31dfe2

Aliases

arxiv: 1809.06678 · arxiv_version: 1809.06678v2 · doi: 10.48550/arxiv.1809.06678 · pith_short_12: VJF474DXIE4S · pith_short_16: VJF474DXIE4SCGFL · pith_short_8: VJF474DX

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/VJF474DXIE4SCGFLK4NEZ3ECGI \
  | 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: aa4bcff07741392118ab571a4cec82322629f61b0f8cc98c9db6e1a92f31dfe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc10d66052a352a01da1a161cbb34b514dfd1edee44d7cda9f40ecc7009ea5a",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-09-18T12:59:50Z",
    "title_canon_sha256": "9eebe231e70015d4b449939d75d017edd776441b54d9d96e77a468c959d750cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06678",
    "kind": "arxiv",
    "version": 2
  }
}