Pith Number

pith:AFIKWUVI

pith:2010:AFIKWUVIELTU7CIMW2KDEBWYBS

not attested not anchored not stored refs pending

Quantum codes give counterexamples to the unique pre-image conjecture of the N-representability problem

Bei Zeng, Beni Yoshida, Isaac L. Chuang, Mary Beth Ruskai, Samuel A. Ocko, Xie Chen, Zhengfeng Ji

arxiv:1010.2717 v5 · 2010-10-13 · quant-ph · 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{AFIKWUVIELTU7CIMW2KDEBWYBS}

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	2026-05-18T03:23:36.889736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0150ab52a822e74f890cb6943206d80cace0108f8a7e7f2b72338ed55d788c6b

Aliases

arxiv: 1010.2717 · arxiv_version: 1010.2717v5 · doi: 10.48550/arxiv.1010.2717 · pith_short_12: AFIKWUVIELTU · pith_short_16: AFIKWUVIELTU7CIM · pith_short_8: AFIKWUVI

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/AFIKWUVIELTU7CIMW2KDEBWYBS \
  | 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: 0150ab52a822e74f890cb6943206d80cace0108f8a7e7f2b72338ed55d788c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8422fedeae504eb4963965c37286e2fa1e6cea7f61652d6c269140626594c77c",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-10-13T18:11:40Z",
    "title_canon_sha256": "ed8ae13ba9e539991903c26497cdd5c2656cf53a9dadf0845dd0ec341b206025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2717",
    "kind": "arxiv",
    "version": 5
  }
}