Pith Number

pith:6FJP2NLW

pith:2017:6FJP2NLWITL27NQPVKQMEDEHGN

not attested not anchored not stored refs pending

The Schr\"odinger equation with spatial white noise: the average wave function

Lenya Ryzhik, Tomasz Komorowski, Yu Gu

arxiv:1706.01351 v2 · 2017-06-05 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FJP2NLWITL27NQPVKQMEDEHGN}

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	2026-05-18T00:25:01.689022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f152fd357644d7afb60faaa0c20c8733792ad90324f33d6cb1700c296645c6a2

Aliases

arxiv: 1706.01351 · arxiv_version: 1706.01351v2 · doi: 10.48550/arxiv.1706.01351 · pith_short_12: 6FJP2NLWITL2 · pith_short_16: 6FJP2NLWITL27NQP · pith_short_8: 6FJP2NLW

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/6FJP2NLWITL27NQPVKQMEDEHGN \
  | 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: f152fd357644d7afb60faaa0c20c8733792ad90324f33d6cb1700c296645c6a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0244e7e7f2b21753bba11189a387f0498a6165ab9e684deb54523dc1b30a98a",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-05T14:33:19Z",
    "title_canon_sha256": "88e6580c16ca86a12e8d38f38e304ce7f2144a700e8b915df4c056537a757856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01351",
    "kind": "arxiv",
    "version": 2
  }
}