Pith Number

pith:A22X447Z

pith:2011:A22X447ZR2PFXRJP7ABWOKYBBY

not attested not anchored not stored refs pending

Feshbach Projection Operator Partitioning for Quantum Open Systems: Stochastic Approach

J. Q. You, Jun Jing, Lian-Ao Wu, Ting Yu

arxiv:1112.0661 v2 · 2011-12-03 · 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{A22X447ZR2PFXRJP7ABWOKYBBY}

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	2026-05-18T03:58:38.109461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b57e73f98e9e5bc52ff803672b010e0314db9ce5f59837177fca9d45e7610c

Aliases

arxiv: 1112.0661 · arxiv_version: 1112.0661v2 · doi: 10.48550/arxiv.1112.0661 · pith_short_12: A22X447ZR2PF · pith_short_16: A22X447ZR2PFXRJP · pith_short_8: A22X447Z

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/A22X447ZR2PFXRJP7ABWOKYBBY \
  | 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: 06b57e73f98e9e5bc52ff803672b010e0314db9ce5f59837177fca9d45e7610c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc24404533b545c807ebfc17bd50417bf7bac254eab5239faf487c4f37d3c92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-03T15:01:52Z",
    "title_canon_sha256": "f07ac950cf0e6d8e43e8463b62d24583543cbc97b23b5fb356f556e84686e947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0661",
    "kind": "arxiv",
    "version": 2
  }
}