Pith Number

pith:CZO4DZR7

pith:2010:CZO4DZR7K2S44BDAPEVUC6HKAF

not attested not anchored not stored refs pending

Analysis of the quantum-classical Liouville equation in the mapping basis

Ali Nassimi, Raymond Kapral, Sara Bonella

arxiv:1006.2075 v1 · 2010-06-10 · physics.chem-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{CZO4DZR7K2S44BDAPEVUC6HKAF}

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	2026-05-18T04:35:48.909779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

165dc1e63f56a5ce0460792b4178ea0162b9365cd8bbc8817d5b668b03040161

Aliases

arxiv: 1006.2075 · arxiv_version: 1006.2075v1 · doi: 10.48550/arxiv.1006.2075 · pith_short_12: CZO4DZR7K2S4 · pith_short_16: CZO4DZR7K2S44BDA · pith_short_8: CZO4DZR7

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/CZO4DZR7K2S44BDAPEVUC6HKAF \
  | 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: 165dc1e63f56a5ce0460792b4178ea0162b9365cd8bbc8817d5b668b03040161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2eb24008f08924e2b086487d7b05316fb86d312a6f0c3c97e3610ec982aede",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2010-06-10T16:09:48Z",
    "title_canon_sha256": "1add178965c30fd9d3b92ecb54d36ac1ff6c0bb485994f6d4717870e612ded95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2075",
    "kind": "arxiv",
    "version": 1
  }
}