Pith Number

pith:BY3BG3F6

pith:2015:BY3BG3F6FUAIJLVPI7FNNVHHDQ

not attested not anchored not stored refs pending

Wiener chaos vs stochastic collocation methods for linear advection-diffusion equations with multiplicative white noise

Boris Rozovskii, George E. Karniadakis, Michael V. Tretyakov, Zhongqiang Zhang

arxiv:1505.03771 v1 · 2015-05-14 · math.NA · 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{BY3BG3F6FUAIJLVPI7FNNVHHDQ}

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	2026-05-18T02:09:40.904186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e36136cbe2d0084aeaf47cad6d4e71c2bb8096338c9d1db4320c7a1ae6f08fd

Aliases

arxiv: 1505.03771 · arxiv_version: 1505.03771v1 · doi: 10.48550/arxiv.1505.03771 · pith_short_12: BY3BG3F6FUAI · pith_short_16: BY3BG3F6FUAIJLVP · pith_short_8: BY3BG3F6

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/BY3BG3F6FUAIJLVPI7FNNVHHDQ \
  | 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: 0e36136cbe2d0084aeaf47cad6d4e71c2bb8096338c9d1db4320c7a1ae6f08fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9e93fdeba242963acd96ed5ce6b026214a2ca60e80f6ebb0457677d7a2c86e3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-05-14T15:58:14Z",
    "title_canon_sha256": "819ababb775d0248c66255e2db1e8fd9900d98a16143a54ccd5048d280f6cd89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03771",
    "kind": "arxiv",
    "version": 1
  }
}