Pith Number

pith:2VVYF6TJ

pith:2010:2VVYF6TJANQ4FU4VULCH6SHQ2Z

not attested not anchored not stored refs pending

Two Local Observables are Sufficient to Characterize Maximally Entangled States of N Qubits

Eric Chitambar, Fengli Yan, Ting Gao

arxiv:1011.0987 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{2VVYF6TJANQ4FU4VULCH6SHQ2Z}

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	2026-05-18T04:20:51.085812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56b82fa690361c2d395a2c47f48f0d6434dd4784423c3aabac5290a90f6d03a

Aliases

arxiv: 1011.0987 · arxiv_version: 1011.0987v1 · doi: 10.48550/arxiv.1011.0987 · pith_short_12: 2VVYF6TJANQ4 · pith_short_16: 2VVYF6TJANQ4FU4V · pith_short_8: 2VVYF6TJ

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/2VVYF6TJANQ4FU4VULCH6SHQ2Z \
  | 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: d56b82fa690361c2d395a2c47f48f0d6434dd4784423c3aabac5290a90f6d03a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd973770e1cb70e81bf06d74deb68dcdcfdc9374388653bc196312602817526b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-11-03T19:43:05Z",
    "title_canon_sha256": "3b85af35a452859e72f2fa79814eca239f44a8235f51bc13403d149fabff21e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0987",
    "kind": "arxiv",
    "version": 1
  }
}