Pith Number

pith:3BH6OVDU

pith:2021:3BH6OVDU7OPYYI2JSI3XFE2NHU

not attested not anchored not stored refs pending

Three-loop color-kinematics duality: A 24-dimensional solution space induced by new generalized gauge transformations

Gang Yang, Guanda Lin, Siyuan Zhang

arxiv:2106.05280 v2 · 2021-06-09 · 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{3BH6OVDU7OPYYI2JSI3XFE2NHU}

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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

3 papers in Pith

Dyeing form factors as amplitudes

Double copy of form factors with multiple operator insertions

Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

Receipt and verification

First computed	2026-07-05T03:29:16.860194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d84fe75474fb9f8c2349923772934d3d318124907c7da07b30718cd6e6355cf3

Aliases

arxiv: 2106.05280 · arxiv_version: 2106.05280v2 · doi: 10.48550/arxiv.2106.05280 · pith_short_12: 3BH6OVDU7OPY · pith_short_16: 3BH6OVDU7OPYYI2J · pith_short_8: 3BH6OVDU

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/3BH6OVDU7OPYYI2JSI3XFE2NHU \
  | 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: d84fe75474fb9f8c2349923772934d3d318124907c7da07b30718cd6e6355cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceefc2213945ce8a4002d5ddc9af05e38d496e68a99222e452b1381282ea68d6",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-09T18:00:01Z",
    "title_canon_sha256": "670ece6ba5c1165a3b34b634a526a907b935512588f12b3315080dcf86c538bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.05280",
    "kind": "arxiv",
    "version": 2
  }
}