Pith Number

pith:WDDTDKVX

pith:2024:WDDTDKVXF26NZEN5SOQLB4N4PV

not attested not anchored not stored refs pending

Circles and Triangles, the NLSM and Tr($\Phi^3$)

Carolina Figueiredo, Nima Arkani-Hamed

arxiv:2403.04826 v1 · 2024-03-07 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDDTDKVXF26NZEN5SOQLB4N4PV}

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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

8 papers in Pith

Planar loop integrands from cuts in $D$ dimensions

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams

Multipositivity Constrains the Chiral Lagrangian

Soft theorems of tree-level ${\rm Tr}(\phi^3)$, YM and NLSM amplitudes from $2$-splits

A new recursion relation for tree-level NLSM amplitudes based on hidden zeros

Receipt and verification

First computed	2026-07-05T07:53:34.924740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c731aab72ebcdc91bd93a0b0f1bc7d69acbb7a540cd60ca424b4109600916b

Aliases

arxiv: 2403.04826 · arxiv_version: 2403.04826v1 · doi: 10.48550/arxiv.2403.04826 · pith_short_12: WDDTDKVXF26N · pith_short_16: WDDTDKVXF26NZEN5 · pith_short_8: WDDTDKVX

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/WDDTDKVXF26NZEN5SOQLB4N4PV \
  | 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: b0c731aab72ebcdc91bd93a0b0f1bc7d69acbb7a540cd60ca424b4109600916b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10477e179719c80c77bec5ae4c83e5ed67ae45429c79c4eae789608981046679",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-03-07T19:00:00Z",
    "title_canon_sha256": "70e0c36b695cb44664b0a652a04693f5440a4b2ef7eaeaf0488e2b088a148e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.04826",
    "kind": "arxiv",
    "version": 1
  }
}