Pith Number

pith:PCHZUONR

pith:2019:PCHZUONRYBARRYXFAEKDRNPQMW

not attested not anchored not stored refs pending

Feynman integrals as A-hypergeometric functions

Leonardo de la Cruz

arxiv:1907.00507 v2 · 2019-07-01 · math-ph · hep-ph · hep-th · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCHZUONRYBARRYXFAEKDRNPQMW}

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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

Resonance and Differential Reduction of Feynman Integrals

HyperPrecision: A Mathematica package for High-Precision Numerical Evaluation of Multivariate Hypergeometric Functions

Numerical analytical continuation of multivariate hypergeometric functions

Fano and Reflexive Polytopes from Feynman Integrals

Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals

Receipt and verification

First computed	2026-07-05T00:27:44.136239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

788f9a39b1c04118e2e5011438b5f065a6baaa80895076d11ab37091ff64c3a6

Aliases

arxiv: 1907.00507 · arxiv_version: 1907.00507v2 · doi: 10.48550/arxiv.1907.00507 · pith_short_12: PCHZUONRYBAR · pith_short_16: PCHZUONRYBARRYXF · pith_short_8: PCHZUONR

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/PCHZUONRYBARRYXFAEKDRNPQMW \
  | 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: 788f9a39b1c04118e2e5011438b5f065a6baaa80895076d11ab37091ff64c3a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d5c68f97d1eb9a765698243883f5df9325a82bebb35ecc8cef06ac080806867",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-07-01T01:14:48Z",
    "title_canon_sha256": "1761b118ea86deb77133012e90e069aad51011b9161a7b070bf223a02cf590b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00507",
    "kind": "arxiv",
    "version": 2
  }
}