Pith Number

pith:UPYZAKW6

pith:2022:UPYZAKW6ENOMWRQKP7VZ65EXO5

not attested not anchored not stored refs pending

Recursion Relations for One-Loop Goldstone Boson Amplitudes

Christoph Bartsch, Jaroslav Trnka, Karol Kampf

arxiv:2206.04694 v1 · 2022-06-09 · hep-th · hep-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{UPYZAKW6ENOMWRQKP7VZ65EXO5}

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	2026-07-05T04:30:43.332959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f1902ade235ccb460a7feb9f7497774bb5624cbd972e157241e2334ec6e5f7

Aliases

arxiv: 2206.04694 · arxiv_version: 2206.04694v1 · doi: 10.48550/arxiv.2206.04694 · pith_short_12: UPYZAKW6ENOM · pith_short_16: UPYZAKW6ENOMWRQK · pith_short_8: UPYZAKW6

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/UPYZAKW6ENOMWRQKP7VZ65EXO5 \
  | 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: a3f1902ade235ccb460a7feb9f7497774bb5624cbd972e157241e2334ec6e5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b26dab2adaa564c13b5d9b0cabaf8a463df1b747fb67615e54389a0e10aae4f",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-06-09T18:00:00Z",
    "title_canon_sha256": "edd5aaeb96ecf6e534fbbb8dca6d1c0625b4295d2a9de93f790ba985eda5489c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04694",
    "kind": "arxiv",
    "version": 1
  }
}