Pith Number

pith:TI4IR7KC

pith:2021:TI4IR7KCZTL5FPZKVBHRYQ4OMG

not attested not anchored not stored refs pending

Massive On-shell Recursion Relations for n-point Amplitudes

Chao Wu, Shou-hua Zhu

arxiv:2112.12312 v3 · 2021-12-23 · 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{TI4IR7KCZTL5FPZKVBHRYQ4OMG}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T04:37:30.512148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3888fd42ccd7d2bf2aa84f1c438e619cb629912e1f107d6b5e8599588cfefb

Aliases

arxiv: 2112.12312 · arxiv_version: 2112.12312v3 · doi: 10.48550/arxiv.2112.12312 · pith_short_12: TI4IR7KCZTL5 · pith_short_16: TI4IR7KCZTL5FPZK · pith_short_8: TI4IR7KC

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/TI4IR7KCZTL5FPZKVBHRYQ4OMG \
  | 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: 9a3888fd42ccd7d2bf2aa84f1c438e619cb629912e1f107d6b5e8599588cfefb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461b6d6dd2341080f8bcd5a2aea4247229a69c9052e7a94be68eb9b816c7ecac",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-23T02:14:33Z",
    "title_canon_sha256": "8cfca3509a3aa0841b66d8cca7d031f5f06e69fdc77efcc3d488a45e7e74d00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12312",
    "kind": "arxiv",
    "version": 3
  }
}