Pith Number

pith:Q4GAWKT3

pith:2020:Q4GAWKT3YVVFCNWGHN4JSPXBI7

not attested not anchored not stored refs pending

Effective Wave Factorization for a Stochastic Schr\"{o}dinger Equation

Ao Zhang, Jinqiao Duan

arxiv:2005.06298 v1 · 2020-05-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4GAWKT3YVVFCNWGHN4JSPXBI7}

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	2026-07-05T01:02:34.027944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870c0b2a7bc56a5136c63b78993ee147da6d77e0e6cd90a99a960849fc1fa6ae

Aliases

arxiv: 2005.06298 · arxiv_version: 2005.06298v1 · doi: 10.48550/arxiv.2005.06298 · pith_short_12: Q4GAWKT3YVVF · pith_short_16: Q4GAWKT3YVVFCNWG · pith_short_8: Q4GAWKT3

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/Q4GAWKT3YVVFCNWGHN4JSPXBI7 \
  | 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: 870c0b2a7bc56a5136c63b78993ee147da6d77e0e6cd90a99a960849fc1fa6ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f1b424646051fba5c27718057a9406d142c4ad28ab091e5574f2413b8ebb34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-05-13T13:04:55Z",
    "title_canon_sha256": "2f400917d410ffd74fb7f29511539516497d2c7ab4fe427c1ffd6864b6adcce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.06298",
    "kind": "arxiv",
    "version": 1
  }
}