Pith Number

pith:U5THDI6L

pith:2016:U5THDI6LA3CTOIMJD2TATX4CJK

not attested not anchored not stored refs pending

Universality of the Stochastic Bessel Operator

Brian Rider, Patrick Waters

arxiv:1610.01637 v1 · 2016-10-05 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5THDI6LA3CTOIMJD2TATX4CJK}

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	2026-05-18T01:03:05.358068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76671a3cb06c53721891ea609df824aad674cdd884c29ef3daf82c4b2174159

Aliases

arxiv: 1610.01637 · arxiv_version: 1610.01637v1 · doi: 10.48550/arxiv.1610.01637 · pith_short_12: U5THDI6LA3CT · pith_short_16: U5THDI6LA3CTOIMJ · pith_short_8: U5THDI6L

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/U5THDI6LA3CTOIMJD2TATX4CJK \
  | 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: a76671a3cb06c53721891ea609df824aad674cdd884c29ef3daf82c4b2174159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d5ddce1aaa3139b35791a5b1c0255c4b91186522f78b230e731c29e86464578",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-10-05T20:36:38Z",
    "title_canon_sha256": "3cfd73f8a05c2ee041c01c0dc6d3a972d617cd8baf5f98b4dd49a796b1f5ea13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01637",
    "kind": "arxiv",
    "version": 1
  }
}