Pith Number

pith:ZIA5FIZN

pith:2010:ZIA5FIZNGUPRERD3E4EPCIXRIW

not attested not anchored not stored refs pending

Tensor Rank and Stochastic Entanglement Catalysis for Multipartite Pure States

Andreas Winter, Eric Chitambar, Lin Chen, Runyao Duan, Zhengfeng Ji

arxiv:1003.3059 v3 · 2010-03-16 · 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{ZIA5FIZNGUPRERD3E4EPCIXRIW}

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.

Cited by

1 paper in Pith

Entanglement Certification $-$ From Theory to Experiment

Receipt and verification

First computed	2026-05-18T04:26:33.297178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca01d2a32d351f12447b2708f122f145a500c2290c3e86d72c8769684d42b3cb

Aliases

arxiv: 1003.3059 · arxiv_version: 1003.3059v3 · doi: 10.48550/arxiv.1003.3059 · pith_short_12: ZIA5FIZNGUPR · pith_short_16: ZIA5FIZNGUPRERD3 · pith_short_8: ZIA5FIZN

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/ZIA5FIZNGUPRERD3E4EPCIXRIW \
  | 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: ca01d2a32d351f12447b2708f122f145a500c2290c3e86d72c8769684d42b3cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a3e73e3c9f9d42f83f3590106e127b552d96c3c91ca5fa66c11347bfbca753a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-16T02:37:24Z",
    "title_canon_sha256": "dab83ed5a33a8eb81cbc271c419d2f9fdb030c524eb237e0634282d29fa80c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3059",
    "kind": "arxiv",
    "version": 3
  }
}