Pith Number

pith:WNQWYAA7

pith:2010:WNQWYAA76NQIL7NCL3SM5JE5GA

not attested not anchored not stored refs pending

Lecture Notes on Quantum Brownian Motion

Laszlo Erdos

arxiv:1009.0843 v1 · 2010-09-04 · math-ph · 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{WNQWYAA76NQIL7NCL3SM5JE5GA}

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.

Cited by

1 paper in Pith

A multiscale reduced basis method for Schr\"{o}dinger equation with multiscale and random potentials

Receipt and verification

First computed	2026-05-18T04:41:24.481612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3616c001ff36085fda25ee4cea49d301e75ab4f4a47ab5641c397e105462285

Aliases

arxiv: 1009.0843 · arxiv_version: 1009.0843v1 · doi: 10.48550/arxiv.1009.0843 · pith_short_12: WNQWYAA76NQI · pith_short_16: WNQWYAA76NQIL7NC · pith_short_8: WNQWYAA7

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/WNQWYAA76NQIL7NCL3SM5JE5GA \
  | 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: b3616c001ff36085fda25ee4cea49d301e75ab4f4a47ab5641c397e105462285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e688d13e550b2f7b0cc96113fc33983725ea1bf0dcae494b9a25a034e4a21f0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-04T14:54:48Z",
    "title_canon_sha256": "781acac048758d683289a90b7db4ad2837b6e2bcbf5f637f426ac64053d24911"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0843",
    "kind": "arxiv",
    "version": 1
  }
}