Pith Number

pith:7WYS572X

pith:2026:7WYS572XTPS5U7RJOUHVMDHFXR

not attested not anchored not stored refs pending

Revisiting the invariant ring of two-qubit mixed states

Bing Xie, Lin Zhang

arxiv:2607.23039 v1 · 2026-07-25 · 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{7WYS572XTPS5U7RJOUHVMDHFXR}

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	2026-07-28T00:22:08.968322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb12eff579be5da7e29750f560ce5bc6e9a5c80350f76159bcee51bedefeacb

Aliases

arxiv: 2607.23039 · arxiv_version: 2607.23039v1 · doi: 10.48550/arxiv.2607.23039 · pith_short_12: 7WYS572XTPS5 · pith_short_16: 7WYS572XTPS5U7RJ · pith_short_8: 7WYS572X

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/7WYS572XTPS5U7RJOUHVMDHFXR \
  | 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: fdb12eff579be5da7e29750f560ce5bc6e9a5c80350f76159bcee51bedefeacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6909ac86aaf84191a6154dde2f5e789a466410b8f011c9ff0fc1d93e57b5215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-25T04:51:12Z",
    "title_canon_sha256": "d4244b91d0e30bf975fdd54d08d1d21348591894585a0f5c5a67f3feb5bad72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23039",
    "kind": "arxiv",
    "version": 1
  }
}