Pith Number

pith:QD2TNDO6

pith:2018:QD2TNDO6GEA4KBONO44GULI7JP

not attested not anchored not stored refs pending

Projections of scaled Bessel processes

Constantinos Kardaras, Johannes Ruf

arxiv:1805.01404 v2 · 2018-05-03 · 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{QD2TNDO6GEA4KBONO44GULI7JP}

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	2026-05-17T23:46:04.212908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f5368dde3101c505cd77386a2d1f4bf94275ff937136667bf55f767dbe1827

Aliases

arxiv: 1805.01404 · arxiv_version: 1805.01404v2 · doi: 10.48550/arxiv.1805.01404 · pith_short_12: QD2TNDO6GEA4 · pith_short_16: QD2TNDO6GEA4KBON · pith_short_8: QD2TNDO6

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/QD2TNDO6GEA4KBONO44GULI7JP \
  | 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: 80f5368dde3101c505cd77386a2d1f4bf94275ff937136667bf55f767dbe1827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8975a3cec4c745cf7873d694fdd09d2f51271c52e1ba0fbeb75cb9a2d6741c58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-03T16:20:57Z",
    "title_canon_sha256": "b7d8256cf5c47a31afd9ac6571fe64ae7046e3bb77c219fd6bc13134b947d739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01404",
    "kind": "arxiv",
    "version": 2
  }
}