Pith Number

pith:GT5NZUUH

pith:2021:GT5NZUUHTN36JFEIYICMIQETYP

not attested not anchored not stored refs pending

Classical Double Copy of Worldline Quantum Field Theory

Canxin Shi, Jan Plefka

arxiv:2109.10345 v1 · 2021-09-21 · hep-th · 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{GT5NZUUHTN36JFEIYICMIQETYP}

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.

Cited by

2 papers in Pith

On Perturbatively Dressed Observables

Black Hole Response Theory and its Exact Shockwave Limit

Receipt and verification

First computed	2026-07-05T03:49:19.350765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fadcd2879b77e49488c204c44093c3f4b910166120bb187b6342de2f02f130

Aliases

arxiv: 2109.10345 · arxiv_version: 2109.10345v1 · doi: 10.48550/arxiv.2109.10345 · pith_short_12: GT5NZUUHTN36 · pith_short_16: GT5NZUUHTN36JFEI · pith_short_8: GT5NZUUH

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/GT5NZUUHTN36JFEIYICMIQETYP \
  | 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: 34fadcd2879b77e49488c204c44093c3f4b910166120bb187b6342de2f02f130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d7f743526df7d6f8e1876b5dbb2379597269cb05e8e51c880a4ab7625737e4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-21T17:57:08Z",
    "title_canon_sha256": "633f6978043132d2f1931fa08274ea83b02680023f00f1a436e9db44f49e4aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.10345",
    "kind": "arxiv",
    "version": 1
  }
}