Pith Number

pith:3AR6FROP

pith:2026:3AR6FROP36PMY6OFIUYYHYRC4X

not attested not anchored not stored refs pending

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

Souvik Bera, Sumit Banik

arxiv:2605.30216 v1 · 2026-05-28 · hep-ph · hep-th · 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{3AR6FROP36PMY6OFIUYYHYRC4X}

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.

Receipt and verification

First computed	2026-05-29T02:06:13.145446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d823e2c5cfdf9ecc79c5453183e222e5ff52351f3753f554fe4e60c115941c20

Aliases

arxiv: 2605.30216 · arxiv_version: 2605.30216v1 · doi: 10.48550/arxiv.2605.30216 · pith_short_12: 3AR6FROP36PM · pith_short_16: 3AR6FROP36PMY6OF · pith_short_8: 3AR6FROP

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/3AR6FROP36PMY6OFIUYYHYRC4X \
  | 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: d823e2c5cfdf9ecc79c5453183e222e5ff52351f3753f554fe4e60c115941c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d767504e955cbcdbe40c8dc1fd54236f7b357220c6d50d4621df9d4f50dc272",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-28T16:48:44Z",
    "title_canon_sha256": "581d8dccbfc8097ff0011fad7762e407effadeb4c6740a8fc888f0e4b5a4aa13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30216",
    "kind": "arxiv",
    "version": 1
  }
}