Pith Number

pith:VRFAZ37H

pith:2016:VRFAZ37HH6FCQX4TK5EQ2RPTMD

not attested not anchored not stored refs pending

Computing hypergeometric functions rigorously

Fredrik Johansson

arxiv:1606.06977 v2 · 2016-06-22 · cs.MS · cs.NA · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRFAZ37HH6FCQX4TK5EQ2RPTMD}

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	2026-05-18T01:11:30.427683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4a0cefe73f8a285f9357490d45f360cd094ff573f33442fbdcafa037be1b79

Aliases

arxiv: 1606.06977 · arxiv_version: 1606.06977v2 · doi: 10.48550/arxiv.1606.06977 · pith_short_12: VRFAZ37HH6FC · pith_short_16: VRFAZ37HH6FCQX4T · pith_short_8: VRFAZ37H

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/VRFAZ37HH6FCQX4TK5EQ2RPTMD \
  | 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: ac4a0cefe73f8a285f9357490d45f360cd094ff573f33442fbdcafa037be1b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b337c9a6f1396b0f47512c52eef5fd278acd27fd2a9e4e7e32eab029b9700ed",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2016-06-22T15:07:11Z",
    "title_canon_sha256": "23fab09ad1670be14759acd74e566672f99ee2fbc0fa378cfa89fb8c92fcd294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06977",
    "kind": "arxiv",
    "version": 2
  }
}