Pith Number

pith:QVET2F6M

pith:2017:QVET2F6MX5EPLN6JRSX3B2BLRN

not attested not anchored not stored refs pending

On squared Bessel particle systems

Jacek Malecki, Piotr Graczyk

arxiv:1707.06295 v1 · 2017-07-19 · 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{QVET2F6MX5EPLN6JRSX3B2BLRN}

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	2026-05-18T00:39:54.225061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85493d17ccbf48f5b7c98cafb0e82b8b58aadb1e199d0b56aaf0c43c4a14313a

Aliases

arxiv: 1707.06295 · arxiv_version: 1707.06295v1 · doi: 10.48550/arxiv.1707.06295 · pith_short_12: QVET2F6MX5EP · pith_short_16: QVET2F6MX5EPLN6J · pith_short_8: QVET2F6M

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/QVET2F6MX5EPLN6JRSX3B2BLRN \
  | 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: 85493d17ccbf48f5b7c98cafb0e82b8b58aadb1e199d0b56aaf0c43c4a14313a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044241cfa92f0eb10f9d6c822023d9f815c8b737283808ac4b8cee7057b17cfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-19T20:56:06Z",
    "title_canon_sha256": "4bc65968488fd76751b0628713607edb82ee20f2165e0f9c3e9f669608b90000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06295",
    "kind": "arxiv",
    "version": 1
  }
}