Pith Number

pith:UAASLEYH

pith:2024:UAASLEYHVZRMWDC7JUIUXL5SFG

not attested not anchored not stored refs pending

Global Bases for Nonplanar Loop Integrands, Generalized Unitarity, and the Double Copy to All Loop Orders

Enrico Herrmann, Mao Zeng, Michael S. Ruf, Radu Roiban, Zvi Bern

arxiv:2408.06686 v2 · 2024-08-13 · 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{UAASLEYHVZRMWDC7JUIUXL5SFG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

2 papers in Pith

Planar loop integrands from cuts in $D$ dimensions

Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders

Receipt and verification

First computed	2026-07-05T09:39:57.421158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a001259307ae62cb0c5f4d114bafb229a189eb53162232639edb2affe709799d

Aliases

arxiv: 2408.06686 · arxiv_version: 2408.06686v2 · doi: 10.48550/arxiv.2408.06686 · pith_short_12: UAASLEYHVZRM · pith_short_16: UAASLEYHVZRMWDC7 · pith_short_8: UAASLEYH

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/UAASLEYHVZRMWDC7JUIUXL5SFG \
  | 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: a001259307ae62cb0c5f4d114bafb229a189eb53162232639edb2affe709799d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfcf32d3b74ea2c3b46255cf6807267dd1d272a243197f64a123fbbf67de91fd",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-08-13T07:26:56Z",
    "title_canon_sha256": "4aa192a02d15bc82541d1d88bddba7c71096bdf5cbf046dabe8a8c69a3ba8d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06686",
    "kind": "arxiv",
    "version": 2
  }
}