Pith Number

pith:UWIFZLTP

pith:2017:UWIFZLTPPIXARRCCWEWZLBNOWY

not attested not anchored not stored refs pending

Spectral representation of one-dimensional Liouville Brownian Motion and Liouville Brownian excursion

Xiong Jin

arxiv:1705.01726 v1 · 2017-05-04 · 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{UWIFZLTPPIXARRCCWEWZLBNOWY}

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	2026-05-18T00:45:02.402588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5905cae6f7a2e08c442b12d9585aeb60031843dd58b2c87cf545612be5c5f40

Aliases

arxiv: 1705.01726 · arxiv_version: 1705.01726v1 · doi: 10.48550/arxiv.1705.01726 · pith_short_12: UWIFZLTPPIXA · pith_short_16: UWIFZLTPPIXARRCC · pith_short_8: UWIFZLTP

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/UWIFZLTPPIXARRCCWEWZLBNOWY \
  | 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: a5905cae6f7a2e08c442b12d9585aeb60031843dd58b2c87cf545612be5c5f40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161cde2142c963e01fbc0d81ba82909f29ed5646f8dc68071256d2fa687210c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-04T07:58:29Z",
    "title_canon_sha256": "3cf40d482ba5da68e63d85e78bb7083cf0c3d90fb067d031b1e1cd5354d8b2f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01726",
    "kind": "arxiv",
    "version": 1
  }
}