Pith Number

pith:VPPE6DPS

pith:2025:VPPE6DPSX4GWVXSGWTNPI54LTF

not attested not anchored not stored refs pending

Quantum Brownian Motion as a Classical Stochastic Process in Phase Space

Dmitriy Kondaurov, Evgeny Polyakov

arxiv:2512.08641 v3 · 2025-12-09 · 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{VPPE6DPSX4GWVXSGWTNPI54LTF}

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	2026-07-03T01:17:15.475861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abde4f0df2bf0d6ade46b4daf4778b99619bb1dd56691b02e8d7cda67731f478

Aliases

arxiv: 2512.08641 · arxiv_version: 2512.08641v3 · doi: 10.48550/arxiv.2512.08641 · pith_short_12: VPPE6DPSX4GW · pith_short_16: VPPE6DPSX4GWVXSG · pith_short_8: VPPE6DPS

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/VPPE6DPSX4GWVXSGWTNPI54LTF \
  | 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: abde4f0df2bf0d6ade46b4daf4778b99619bb1dd56691b02e8d7cda67731f478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe19dabb3d360ac31e0f80b1d8e7503d38496ef7a82d6e2b232249a46599a082",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-09T14:26:34Z",
    "title_canon_sha256": "a1cb226a923771ef0b98ce985bd3675003ee1c8ee352ced9263aeece2563bfab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08641",
    "kind": "arxiv",
    "version": 3
  }
}