Pith Number

pith:53TUZYG4

pith:2021:53TUZYG4PKCV75Y7YAQIDLNTDE

not attested not anchored not stored refs pending

Direct numerical evaluation of multi-loop integrals without contour deformation

Bryan Webber, Roberto Pittau

arxiv:2110.12885 v2 · 2021-10-25 · hep-ph · 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{53TUZYG4PKCV75Y7YAQIDLNTDE}

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

1 paper in Pith

Positive Integrands from Feynman Integrals in the Minkowski Regime

Receipt and verification

First computed	2026-07-05T03:50:02.891553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee74ce0dc7a855ff71fc02081adb31917afe25db3d936cd58cba6ddb5cc10bb

Aliases

arxiv: 2110.12885 · arxiv_version: 2110.12885v2 · doi: 10.48550/arxiv.2110.12885 · pith_short_12: 53TUZYG4PKCV · pith_short_16: 53TUZYG4PKCV75Y7 · pith_short_8: 53TUZYG4

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/53TUZYG4PKCV75Y7YAQIDLNTDE \
  | 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: eee74ce0dc7a855ff71fc02081adb31917afe25db3d936cd58cba6ddb5cc10bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f332accc38ef9e5dca5085ee025ddc5c21bc3402a20d482af844cdb8c5ad05",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-10-25T12:40:16Z",
    "title_canon_sha256": "bb33b77d69d91d19f6bdda2ebc8e7b42e1ac7cd708ffdd40b055454e60f3fa14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12885",
    "kind": "arxiv",
    "version": 2
  }
}