Pith Number

pith:VEWMOXEZ

pith:2025:VEWMOXEZZTCEMI2N6MIV2ZKEZC

not attested not anchored not stored refs pending

All-loop planar integrands in Yang-Mills theory from recursion

Fan Zhu, Qu Cao

arxiv:2503.15860 v1 · 2025-03-20 · hep-th

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\usepackage{pith}
\pithnumber{VEWMOXEZZTCEMI2N6MIV2ZKEZC}

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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

Planar loop integrands from cuts in $D$ dimensions

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

Off-shell recursion for all-loop planar integrands in Yang-Mills theory

Receipt and verification

First computed	2026-07-05T10:36:00.121577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92cc75c99ccc446234df3115d6544c89970f803c35588e090245e991f4714b2

Aliases

arxiv: 2503.15860 · arxiv_version: 2503.15860v1 · doi: 10.48550/arxiv.2503.15860 · pith_short_12: VEWMOXEZZTCE · pith_short_16: VEWMOXEZZTCEMI2N · pith_short_8: VEWMOXEZ

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/VEWMOXEZZTCEMI2N6MIV2ZKEZC \
  | 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: a92cc75c99ccc446234df3115d6544c89970f803c35588e090245e991f4714b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab90c518f8ec2612e2761949db00c4adb259c0dcde625a33e19696854d5dbc82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-03-20T05:33:32Z",
    "title_canon_sha256": "81f6603414bd35fe9d218b7f04995e0550543e9abe9c8da905024205b9a47af5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.15860",
    "kind": "arxiv",
    "version": 1
  }
}