Pith Number

pith:XX6W625R

pith:2019:XX6W625R56IMJWRBNPVRZEO6BR

not attested not anchored not stored refs pending

GKZ-hypergeometric systems for Feynman integrals

Chao-Hsi Chang, Hai-Bin Zhang, Jian-Bin Chen, Tai-Fu Feng

arxiv:1912.01726 v2 · 2019-12-03 · 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{XX6W625R56IMJWRBNPVRZEO6BR}

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

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

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

Receipt and verification

First computed	2026-07-05T00:43:43.177708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdfd6f6bb1ef90c4da216beb1c91de0c571639fd755346642246472d0613bbfd

Aliases

arxiv: 1912.01726 · arxiv_version: 1912.01726v2 · doi: 10.48550/arxiv.1912.01726 · pith_short_12: XX6W625R56IM · pith_short_16: XX6W625R56IMJWRB · pith_short_8: XX6W625R

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/XX6W625R56IMJWRBNPVRZEO6BR \
  | 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: bdfd6f6bb1ef90c4da216beb1c91de0c571639fd755346642246472d0613bbfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "613dc259281c75cdd3f2a24dfedb243c07e866c77afa520947a3144dfbf0a693",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-03T22:41:18Z",
    "title_canon_sha256": "de49e45bd0d8ed1713c882b9c8486c4171cd74bae6ab6b208d422f8c2688e0e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.01726",
    "kind": "arxiv",
    "version": 2
  }
}