Pith Number

pith:HIVWQCYK

pith:2001:HIVWQCYKRX6BFZGCPTEIHYGDWL

not attested not anchored not stored refs pending

Quantum-Liouville and Langevin Equations for Gravitational Radiation Damping

H. Kleinert, Z. Haba

arxiv:quant-ph/0101006 v1 · 2001-01-01 · 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{HIVWQCYKRX6BFZGCPTEIHYGDWL}

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	2026-05-18T04:12:10.826176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2b680b0a8dfc12e4c27cc883e0c3b2fc48d68b3aa8d18b2a53902080d9d988

Aliases

arxiv: quant-ph/0101006 · arxiv_version: quant-ph/0101006v1 · doi: 10.48550/arxiv.quant-ph/0101006 · pith_short_12: HIVWQCYKRX6B · pith_short_16: HIVWQCYKRX6BFZGC · pith_short_8: HIVWQCYK

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/HIVWQCYKRX6BFZGCPTEIHYGDWL \
  | 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: 3a2b680b0a8dfc12e4c27cc883e0c3b2fc48d68b3aa8d18b2a53902080d9d988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eabd1bff8f63083b2f2602d8fb1c49faac9d8b6eeb0adf9d39a3858e951b3972",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-01-01T11:48:04Z",
    "title_canon_sha256": "67349089cca1fc70083290b8863996d568c1bb3ec7b14915a891bc8fc8e75edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0101006",
    "kind": "arxiv",
    "version": 1
  }
}