Pith Number

pith:2OQCZG3D

pith:2016:2OQCZG3DPQLPPC2636S6BE5MXM

not attested not anchored not stored refs pending

A Bloch decomposition-based stochastic Galerkin method for quantum dynamics with a random external potential

Zhizhang Wu, Zhongyi Huang

arxiv:1604.04714 v1 · 2016-04-16 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OQCZG3DPQLPPC2636S6BE5MXM}

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	2026-05-18T01:12:03.852627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a02c9b637c16f78b5edfa5e093acbb09b76789d35af3952ef8194777dc92f7

Aliases

arxiv: 1604.04714 · arxiv_version: 1604.04714v1 · doi: 10.48550/arxiv.1604.04714 · pith_short_12: 2OQCZG3DPQLP · pith_short_16: 2OQCZG3DPQLPPC26 · pith_short_8: 2OQCZG3D

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/2OQCZG3DPQLPPC2636S6BE5MXM \
  | 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: d3a02c9b637c16f78b5edfa5e093acbb09b76789d35af3952ef8194777dc92f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "541d74099891670b091eb722da4db60d90d785f2759262898d85f77fedb8b12c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-04-16T09:06:26Z",
    "title_canon_sha256": "7cfb3854983ca96aab20801ac19d59c4540eef399f57eaa320bfb4e6689f78c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04714",
    "kind": "arxiv",
    "version": 1
  }
}