Pith Number

pith:YPCIC77D

pith:2022:YPCIC77DCQQUUPHUVBILZEXRA5

not attested not anchored not stored refs pending

Loop-by-loop Differential Equations for Dual (Elliptic) Feynman Integrals

Andrzej Pokraka, Mathieu Giroux

arxiv:2210.09898 v2 · 2022-10-18 · hep-th · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPCIC77DCQQUUPHUVBILZEXRA5}

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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

5 papers in Pith

From geometry to phenomenology

New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations

The spectrum of Feynman-integral geometries at two loops

Discrete symmetries of Feynman integrals

Loop integrals in de Sitter spacetime: The parity-split IBP system and $\mathrm{d}\log$-form differential equations

Receipt and verification

First computed	2026-07-05T05:53:34.227704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c4817fe314214a3cf4a850bc92f1077e517a4b35f1b65a5ea58846527a64ef

Aliases

arxiv: 2210.09898 · arxiv_version: 2210.09898v2 · doi: 10.48550/arxiv.2210.09898 · pith_short_12: YPCIC77DCQQU · pith_short_16: YPCIC77DCQQUUPHU · pith_short_8: YPCIC77D

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/YPCIC77DCQQUUPHUVBILZEXRA5 \
  | 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: c3c4817fe314214a3cf4a850bc92f1077e517a4b35f1b65a5ea58846527a64ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b4e30257da02a62a6803354cd5b0ce9c5a1a6996f6da59e8243c13c96345ad",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-10-18T14:40:59Z",
    "title_canon_sha256": "c80a58828ccf3dbc5d194133d96b627098cd0c4e72efe2601e24be76b20afa49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.09898",
    "kind": "arxiv",
    "version": 2
  }
}