Pith Number

pith:WE2PXCAH

pith:2013:WE2PXCAH4IH5UF6O7Z3QAON4JJ

not attested not anchored not stored refs pending

Analysis of the Forward-Backward Trajectory Solution for the Mixed Quantum-Classical Liouville Equation

Chang-Yu Hsieh, Raymond Kapral

arxiv:1302.2085 v1 · 2013-02-08 · 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{WE2PXCAH4IH5UF6O7Z3QAON4JJ}

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	2026-05-18T01:51:43.424752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b134fb8807e20fda17cefe770039bc4a4bcca20fefb570fcd35f57e2fbbceebc

Aliases

arxiv: 1302.2085 · arxiv_version: 1302.2085v1 · doi: 10.48550/arxiv.1302.2085 · pith_short_12: WE2PXCAH4IH5 · pith_short_16: WE2PXCAH4IH5UF6O · pith_short_8: WE2PXCAH

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/WE2PXCAH4IH5UF6O7Z3QAON4JJ \
  | 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: b134fb8807e20fda17cefe770039bc4a4bcca20fefb570fcd35f57e2fbbceebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2b233b2183a792a14e5248abc17fbb22c8fadda8de72e3deaf76042764ed4cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2013-02-08T17:03:53Z",
    "title_canon_sha256": "89d867cd1ad7f7c8856ed28e2258531304005f11d4211423edad84ac78ee1f38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2085",
    "kind": "arxiv",
    "version": 1
  }
}