Pith Number

pith:5GDEL5JE

pith:2016:5GDEL5JENDPF2NHWSIOZZJCDNQ

not attested not anchored not stored refs pending

Hypergroups and Quantum Bessel Processes of Non-integer Dimensions

Wojciech Matysiak

arxiv:1611.04819 v1 · 2016-11-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GDEL5JENDPF2NHWSIOZZJCDNQ}

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	2026-05-18T00:58:49.791978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e98645f52468de5d34f6921d9ca4436c1adc14d8092ef91b3a81cf6bfc9a6662

Aliases

arxiv: 1611.04819 · arxiv_version: 1611.04819v1 · doi: 10.48550/arxiv.1611.04819 · pith_short_12: 5GDEL5JENDPF · pith_short_16: 5GDEL5JENDPF2NHW · pith_short_8: 5GDEL5JE

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/5GDEL5JENDPF2NHWSIOZZJCDNQ \
  | 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: e98645f52468de5d34f6921d9ca4436c1adc14d8092ef91b3a81cf6bfc9a6662

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42f058d38e1bae24a7cd357b5e268d1cecd069fb7f781b9e20e57d88ff055376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-15T13:25:51Z",
    "title_canon_sha256": "7fe8c0d950d9b3ea55604ab8ff3c5dd99b38cdc6c211dc1ba2f8e6e3504acf4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04819",
    "kind": "arxiv",
    "version": 1
  }
}