Pith Number

pith:O4NKT3A2

pith:2021:O4NKT3A2A5UC4VFAXFPH32MF7Q

not attested not anchored not stored refs pending

Hypergeometric Structures in Feynman Integrals

C. Schneider, J. Bl\"umlein, M. Saragnese

arxiv:2111.15501 v1 · 2021-11-30 · math-ph · cs.SC · hep-ph · hep-th · 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{O4NKT3A2A5UC4VFAXFPH32MF7Q}

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

3 papers in Pith

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

Numerical analytical continuation of multivariate hypergeometric functions

Recurrence Relations and Dispersive Techniques for Precision Multi-Loop Calculations

Receipt and verification

First computed	2026-07-05T03:36:26.768280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771aa9ec1a07682e54a0b95e7de985fc1964cb8ed897341e5a2e9037812b9133

Aliases

arxiv: 2111.15501 · arxiv_version: 2111.15501v1 · doi: 10.48550/arxiv.2111.15501 · pith_short_12: O4NKT3A2A5UC · pith_short_16: O4NKT3A2A5UC4VFA · pith_short_8: O4NKT3A2

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/O4NKT3A2A5UC4VFAXFPH32MF7Q \
  | 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: 771aa9ec1a07682e54a0b95e7de985fc1964cb8ed897341e5a2e9037812b9133

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a5039823ffaf496af078556c818465da41df30474c7e135c9ea3918a7ac632",
    "cross_cats_sorted": [
      "cs.SC",
      "hep-ph",
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-11-30T15:37:55Z",
    "title_canon_sha256": "b1e6f186a2c0a2ddae8ba57ed3f620affe8eec3f6b777efcafb7e7c9ea9001f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15501",
    "kind": "arxiv",
    "version": 1
  }
}