Pith Number

pith:QS6FI7S3

pith:2013:QS6FI7S3ZM5SIJGCYQ3PWHOO36

not attested not anchored not stored refs pending

Entanglement entropy in quasi-symmetric multi-qubit states

An-Min Wang, Zhi-Hua Li

arxiv:1310.3089 v1 · 2013-10-11 · 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{QS6FI7S3ZM5SIJGCYQ3PWHOO36}

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	2026-05-18T03:10:45.086608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84bc547e5bcb3b2424c2c436fb1dcedfa479eff685c1b33172b07fa4ba773357

Aliases

arxiv: 1310.3089 · arxiv_version: 1310.3089v1 · doi: 10.48550/arxiv.1310.3089 · pith_short_12: QS6FI7S3ZM5S · pith_short_16: QS6FI7S3ZM5SIJGC · pith_short_8: QS6FI7S3

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/QS6FI7S3ZM5SIJGCYQ3PWHOO36 \
  | 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: 84bc547e5bcb3b2424c2c436fb1dcedfa479eff685c1b33172b07fa4ba773357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8060140fed6a415c8ff8f543e4e5f456ccd3f7cddf30f9795e59022181c5af99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-11T11:44:40Z",
    "title_canon_sha256": "06e129b169ca4cf376f085dccdc5f89ed73f1e9fe94df12fc7aca1c90ce2f450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3089",
    "kind": "arxiv",
    "version": 1
  }
}