Pith Number

pith:5ORQOCVK

pith:2018:5ORQOCVKXLFARLMVB3B6UZLJNY

not attested not anchored not stored refs pending

The Sub-Geometric Phases in Density Matrix

Zheng-Chuan Wang

arxiv:1805.07355 v1 · 2018-05-18 · 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{5ORQOCVKXLFARLMVB3B6UZLJNY}

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	2026-05-18T00:15:35.962923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eba3070aaabaca08ad950ec3ea65696e2522c2c55d5524f3c674c0d5837050b4

Aliases

arxiv: 1805.07355 · arxiv_version: 1805.07355v1 · doi: 10.48550/arxiv.1805.07355 · pith_short_12: 5ORQOCVKXLFA · pith_short_16: 5ORQOCVKXLFARLMV · pith_short_8: 5ORQOCVK

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/5ORQOCVKXLFARLMVB3B6UZLJNY \
  | 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: eba3070aaabaca08ad950ec3ea65696e2522c2c55d5524f3c674c0d5837050b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235a8314d9ccf9b11f82231adeb3dc4fd15f2146964b995cc2a167113c3d0b5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-05-18T00:43:21Z",
    "title_canon_sha256": "405b1b9ccbef5a91861419be9638fb7ce23c1259c0fbf1b96ff57382e36f56d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07355",
    "kind": "arxiv",
    "version": 1
  }
}