Pith Number

pith:YC3QBW47

pith:2022:YC3QBW4774SJUFDJLXLXOI25PU

not attested not anchored not stored refs pending

Gauge invariance from on-shell massive amplitudes and tree unitarity

Da Liu, Zhewei Yin

arxiv:2204.13119 v2 · 2022-04-27 · 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{YC3QBW4774SJUFDJLXLXOI25PU}

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

Explicit Conditions for Diagnosing Tree-Level Unitarity

Consistent Scattering Amplitudes, Yang-Mills, the Higgs Mechanism and the EFTs Beyond

Receipt and verification

First computed	2026-07-05T05:21:25.057383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b700db9fff249a14695dd777235d7d2fc6b10d501bef4fa46afc92cbcabd81

Aliases

arxiv: 2204.13119 · arxiv_version: 2204.13119v2 · doi: 10.48550/arxiv.2204.13119 · pith_short_12: YC3QBW4774SJ · pith_short_16: YC3QBW4774SJUFDJ · pith_short_8: YC3QBW47

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/YC3QBW4774SJUFDJLXLXOI25PU \
  | 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: c0b700db9fff249a14695dd777235d7d2fc6b10d501bef4fa46afc92cbcabd81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0929cd4b27a827ac8605919ba183dc03c7e932a291bd8680a988a45970d0a38d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-04-27T18:00:01Z",
    "title_canon_sha256": "e82a5f92a5fabaca5f1194f9d02f294f81238e6e4e8e003e45dbb538831a6a6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.13119",
    "kind": "arxiv",
    "version": 2
  }
}