Pith Number

pith:V4G3TVDS

pith:2013:V4G3TVDSZUE77IQS2SEX3UYCXB

not attested not anchored not stored refs pending

On differentiability of stochastic flow for a multidimensional SDE with discontinuous drift

Andrey Pilipenko, Olga Aryasova

arxiv:1306.4816 v3 · 2013-06-20 · 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{V4G3TVDSZUE77IQS2SEX3UYCXB}

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	2026-05-18T01:14:18.500493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0db9d472cd09ffa212d4897dd302b85b0ff29457ef3f4718f424f5a604e3ff

Aliases

arxiv: 1306.4816 · arxiv_version: 1306.4816v3 · doi: 10.48550/arxiv.1306.4816 · pith_short_12: V4G3TVDSZUE7 · pith_short_16: V4G3TVDSZUE77IQS · pith_short_8: V4G3TVDS

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/V4G3TVDSZUE77IQS2SEX3UYCXB \
  | 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: af0db9d472cd09ffa212d4897dd302b85b0ff29457ef3f4718f424f5a604e3ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef94d8fe99fd59d77f8aaaa67d0d9ffdce295183888e90e17e7ed9e5155df5ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-20T11:00:39Z",
    "title_canon_sha256": "d0a11e9d40d3ff79ce9237ee885f736dee9a0d876403da71a481cb68d708f228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4816",
    "kind": "arxiv",
    "version": 3
  }
}