Pith Number

pith:LBTHRFQJ

pith:2013:LBTHRFQJDCAX5VQQ5WQXDLDJ22

not attested not anchored not stored refs pending

Tree-level Amplitudes in the Nonlinear Sigma Model

Jaroslav Trnka, Jiri Novotny, Karol Kampf

arxiv:1304.3048 v1 · 2013-04-10 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBTHRFQJDCAX5VQQ5WQXDLDJ22}

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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

4 papers in Pith

Multipositivity Constrains the Chiral Lagrangian

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

$2$-split from Feynman diagrams and Expansions

Universal Interpretation of Hidden Zero and $2$-Split of Tree-Level Amplitudes Using Feynman Diagrams, Part $\mathbf{I}$: ${\rm Tr}(\phi^3)$, NLSM and YM

Receipt and verification

First computed	2026-05-18T01:50:40.285579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

586678960918817ed610eda171ac69d6a27cb12082eda6e31032ef545b0c670c

Aliases

arxiv: 1304.3048 · arxiv_version: 1304.3048v1 · doi: 10.48550/arxiv.1304.3048 · pith_short_12: LBTHRFQJDCAX · pith_short_16: LBTHRFQJDCAX5VQQ · pith_short_8: LBTHRFQJ

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/LBTHRFQJDCAX5VQQ5WQXDLDJ22 \
  | 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: 586678960918817ed610eda171ac69d6a27cb12082eda6e31032ef545b0c670c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fcf8c97315be63a202b87112fc7aa6955dbe5eaa7d3857dd33946babab02b2a",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-04-10T18:33:05Z",
    "title_canon_sha256": "1ae52ddcb311e2711e912c58b7e0438a4ec09600faee4df6c419f71ffd82aa13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3048",
    "kind": "arxiv",
    "version": 1
  }
}