Pith Number

pith:ZBQV6NPA

pith:2021:ZBQV6NPAPNNXB7TTHKK3NUJIGH

not attested not anchored not stored refs pending

Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory

Konglong Wu, Yi-Jian Du

arxiv:2109.14462 v2 · 2021-09-29 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBQV6NPAPNNXB7TTHKK3NUJIGH}

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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

6 papers in Pith

Understanding zeros and splittings of ordered tree amplitudes via Feynman diagrams

Systematic approach to $\ell$-loop planar integrands from the classical equation of motion

The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables

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

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	2026-07-05T03:56:50.380459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8615f35e07b5b70fe733a95b6d12831c53fb546e73c3cc1464762d3aa29453d

Aliases

arxiv: 2109.14462 · arxiv_version: 2109.14462v2 · doi: 10.48550/arxiv.2109.14462 · pith_short_12: ZBQV6NPAPNNX · pith_short_16: ZBQV6NPAPNNXB7TT · pith_short_8: ZBQV6NPA

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/ZBQV6NPAPNNXB7TTHKK3NUJIGH \
  | 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: c8615f35e07b5b70fe733a95b6d12831c53fb546e73c3cc1464762d3aa29453d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd9d418a222a898bde2ec8bc54143a6014fce6311f66bf91f490e46d06391181",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-29T14:51:25Z",
    "title_canon_sha256": "e4004500ad54b21434d460519b29980acee6a37da18ce719dd6f91d847656d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.14462",
    "kind": "arxiv",
    "version": 2
  }
}