Pith Number

pith:MZ3PZP2E

pith:1998:MZ3PZP2EWIBU6YDRSP6LUU4DHU

not attested not anchored not stored refs pending

Exact derivation of the Langevin and master equations for harmonic quantum Brownian motion

Edgardo T. Garcia Alvarez, Fabian H. Gaioli

arxiv:quant-ph/9807047 v1 · 1998-07-17 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZ3PZP2EWIBU6YDRSP6LUU4DHU}

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	2026-05-18T01:37:52.813879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6676fcbf44b2034f607193fcba53833d2f078fcc829d2e3925dc77ba30b470be

Aliases

arxiv: quant-ph/9807047 · arxiv_version: quant-ph/9807047v1 · doi: 10.48550/arxiv.quant-ph/9807047 · pith_short_12: MZ3PZP2EWIBU · pith_short_16: MZ3PZP2EWIBU6YDR · pith_short_8: MZ3PZP2E

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/MZ3PZP2EWIBU6YDRSP6LUU4DHU \
  | 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: 6676fcbf44b2034f607193fcba53833d2f078fcc829d2e3925dc77ba30b470be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0cb3b181b9950b453682bae144c0b197dcb3854c35ce57106c26d0f98b839d2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-07-17T22:25:54Z",
    "title_canon_sha256": "ca14f8b0f82bede7aa6ae65c54c94aa60a15e74020d565f986b4962df0f54643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9807047",
    "kind": "arxiv",
    "version": 1
  }
}