Pith Number

pith:SNPY77HY

pith:2009:SNPY77HYOU25WS6RPKW43FWQX6

not attested not anchored not stored refs pending

Complete controllability of finite quantum systems with two-fold energy level degeneracy

H.C.Fu, Zhedong Zhang

arxiv:0912.1806 v3 · 2009-12-09 · 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{SNPY77HYOU25WS6RPKW43FWQX6}

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	2026-05-18T02:10:25.148197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

935f8ffcf87535db4bd17aadcd96d0bfb61b48e6e97256071bb66fddfa93df46

Aliases

arxiv: 0912.1806 · arxiv_version: 0912.1806v3 · doi: 10.48550/arxiv.0912.1806 · pith_short_12: SNPY77HYOU25 · pith_short_16: SNPY77HYOU25WS6R · pith_short_8: SNPY77HY

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/SNPY77HYOU25WS6RPKW43FWQX6 \
  | 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: 935f8ffcf87535db4bd17aadcd96d0bfb61b48e6e97256071bb66fddfa93df46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e9490676fe7a88906b628528357fafa911344a645614d722d0abe198d321ad1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-09T17:20:16Z",
    "title_canon_sha256": "afcf76da1203089a066224c5a26c0847ed5a7b0ab34506cf1f58a32e6e70303a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1806",
    "kind": "arxiv",
    "version": 3
  }
}