Pith Number

pith:KAHGY464

pith:2019:KAHGY464DWIW5GUUIX6YZLGHHJ

not attested not anchored not stored refs pending

Group-theoretical origin of symmetries of hypergeometric class equations and functions

Jan Derezi\'nski

arxiv:1906.03512 v1 · 2019-06-08 · math.CA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAHGY464DWIW5GUUIX6YZLGHHJ}

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	2026-05-17T23:43:48.239532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

500e6c73dc1d916e9a9445fd8cacc73a720a43694e4d22ec71a473575d9e49b5

Aliases

arxiv: 1906.03512 · arxiv_version: 1906.03512v1 · doi: 10.48550/arxiv.1906.03512 · pith_short_12: KAHGY464DWIW · pith_short_16: KAHGY464DWIW5GUU · pith_short_8: KAHGY464

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/KAHGY464DWIW5GUUIX6YZLGHHJ \
  | 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: 500e6c73dc1d916e9a9445fd8cacc73a720a43694e4d22ec71a473575d9e49b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f34172e8964d204427b5ed2c2bcbb4bcd26d486e17b6c8f9f891c11e855475e0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-06-08T19:53:46Z",
    "title_canon_sha256": "60871e6dfe040a6d3119d2dcc8c2c9a351c874f3b25c293d4a0f80f8ca1d250c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03512",
    "kind": "arxiv",
    "version": 1
  }
}