Pith Number

pith:DCXGJVF6

pith:2011:DCXGJVF6RMG4WHLKN2MYA5FV7C

not attested not anchored not stored refs pending

Multiplicative white noise functionals and the Krylov-Veretennikov expansion for coalescing stochastic flows

Andrey A. Dorogovtsev

arxiv:1107.5026 v1 · 2011-07-25 · 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{DCXGJVF6RMG4WHLKN2MYA5FV7C}

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	2026-05-18T04:16:53.984474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18ae64d4be8b0dcb1d6a6e998074b5f8ae2c2e1af087180c674d8102693be702

Aliases

arxiv: 1107.5026 · arxiv_version: 1107.5026v1 · doi: 10.48550/arxiv.1107.5026 · pith_short_12: DCXGJVF6RMG4 · pith_short_16: DCXGJVF6RMG4WHLK · pith_short_8: DCXGJVF6

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/DCXGJVF6RMG4WHLKN2MYA5FV7C \
  | 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: 18ae64d4be8b0dcb1d6a6e998074b5f8ae2c2e1af087180c674d8102693be702

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9e7b8f63e623cc8ae86913ef140cee9fa1447bd1992632b4fa82d0badf28d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-25T19:34:41Z",
    "title_canon_sha256": "3c4cbdd0e90c0db5480b495e3cd572e91e3a4cb4892e7eb1011d5720b13e9bde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5026",
    "kind": "arxiv",
    "version": 1
  }
}