Pith Number

pith:GCXJI2YO

pith:2010:GCXJI2YON4EOTJBUE2NH7RF73P

not attested not anchored not stored refs pending

Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence

Hang Zheng, Keiichiro Nasu, Peihao Huang

arxiv:1011.0830 v1 · 2010-11-03 · 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{GCXJI2YON4EOTJBUE2NH7RF73P}

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	2026-05-18T04:37:12.266337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ae946b0e6f08e9a434269a7fc4bfdbcb400d5f77c5df5acbdc5a13f5d6dfc7

Aliases

arxiv: 1011.0830 · arxiv_version: 1011.0830v1 · doi: 10.48550/arxiv.1011.0830 · pith_short_12: GCXJI2YON4EO · pith_short_16: GCXJI2YON4EOTJBU · pith_short_8: GCXJI2YO

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/GCXJI2YON4EOTJBUE2NH7RF73P \
  | 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: 30ae946b0e6f08e9a434269a7fc4bfdbcb400d5f77c5df5acbdc5a13f5d6dfc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b75fe520400e684aa8575d1c027353b6bd096180fe7cf6577281fa7ff4f2600",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-11-03T09:23:02Z",
    "title_canon_sha256": "1c35d4209b79fff9f3b1a5e06cbc6c342d1e16be82ef4ea67a681af43bdce317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0830",
    "kind": "arxiv",
    "version": 1
  }
}