Pith Number

pith:VXMFV5QS

pith:2016:VXMFV5QSWJU4URV5IPAEKRULBD

not attested not anchored not stored refs pending

Smooth densities of the laws of perturbed diffusion processes

Lihu Xu, Tusheng Zhang, Wen Yue

arxiv:1601.06275 v1 · 2016-01-23 · 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{VXMFV5QSWJU4URV5IPAEKRULBD}

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	2026-05-18T01:22:04.870903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

add85af612b269ca46bd43c045468b08d2ebf2d285503134a4c0d5c013bda81e

Aliases

arxiv: 1601.06275 · arxiv_version: 1601.06275v1 · doi: 10.48550/arxiv.1601.06275 · pith_short_12: VXMFV5QSWJU4 · pith_short_16: VXMFV5QSWJU4URV5 · pith_short_8: VXMFV5QS

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/VXMFV5QSWJU4URV5IPAEKRULBD \
  | 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: add85af612b269ca46bd43c045468b08d2ebf2d285503134a4c0d5c013bda81e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f150902962882c73f7c4de50d30086ec234046c767f7dd4f6168b28cff804e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-23T15:02:29Z",
    "title_canon_sha256": "2d3ebe8f377752807bd82827af7b5ee84c6c8b69f37d54b6ecdd2a79bccec2df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06275",
    "kind": "arxiv",
    "version": 1
  }
}