Pith Number

pith:2VFWXI3E

pith:2018:2VFWXI3ETQCI3T6RXI7EXOVHJV

not attested not anchored not stored refs pending

Decay of the stochastic linear Schr\"odinger equation in $d \geq 3$ with small multiplicative noise

Chenjie Fan, Weijun Xu

arxiv:1812.06661 v1 · 2018-12-17 · math.AP · 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{2VFWXI3ETQCI3T6RXI7EXOVHJV}

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	2026-05-17T23:58:01.206411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d54b6ba3649c048dcfd1ba3e4bbaa74d7ab83d129d66031905abba2674be5ebc

Aliases

arxiv: 1812.06661 · arxiv_version: 1812.06661v1 · doi: 10.48550/arxiv.1812.06661 · pith_short_12: 2VFWXI3ETQCI · pith_short_16: 2VFWXI3ETQCI3T6R · pith_short_8: 2VFWXI3E

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/2VFWXI3ETQCI3T6RXI7EXOVHJV \
  | 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: d54b6ba3649c048dcfd1ba3e4bbaa74d7ab83d129d66031905abba2674be5ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d54c30c21abec8b65cd1c36b57c158623595f0332deab4bc346e6957eaf35d1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-17T09:14:53Z",
    "title_canon_sha256": "0f205e0eae570965684e14cfee975ea357c4aab25458e0e5dc65928e9e41da0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06661",
    "kind": "arxiv",
    "version": 1
  }
}