Pith Number

pith:5Q7MN3TG

pith:2024:5Q7MN3TG5IMC2APCSLFZMWFZSK

not attested not anchored not stored refs pending

A unified framework for classical and quantum uncertainty relations using stochastic representations

Euijoon Kwon, Jae Sung Lee

arxiv:2412.04988 v2 · 2024-12-06 · cond-mat.stat-mech · 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{5Q7MN3TG5IMC2APCSLFZMWFZSK}

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

2 papers in Pith

Stochastic Calculus for Pathwise Observables of Markov-Jump Processes: Unification of Diffusion and Jump Dynamics

Universal Precision Limits in General Open Quantum Systems

Receipt and verification

First computed	2026-07-05T09:48:38.018604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3ec6ee66ea182d01e292cb9658b9928e1c431d6196a7d2776a4ecb7f0e86ce

Aliases

arxiv: 2412.04988 · arxiv_version: 2412.04988v2 · doi: 10.48550/arxiv.2412.04988 · pith_short_12: 5Q7MN3TG5IMC · pith_short_16: 5Q7MN3TG5IMC2APC · pith_short_8: 5Q7MN3TG

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/5Q7MN3TG5IMC2APCSLFZMWFZSK \
  | 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: ec3ec6ee66ea182d01e292cb9658b9928e1c431d6196a7d2776a4ecb7f0e86ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde57d820cab83c126d4a290fff6d01a1b9d3f204ab3bd714aeb2ec3d495c751",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-12-06T12:16:41Z",
    "title_canon_sha256": "a9748660cfe6410811e92076ceb3a3d2e7a95521a62e9541117b3735466ab7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04988",
    "kind": "arxiv",
    "version": 2
  }
}