Pith Number

pith:KQB2E2J4

pith:2021:KQB2E2J4WZFYNJTDZNSLK5ZWO7

not attested not anchored not stored refs pending

Mixed-state TQFTs

Modjtaba Shokrian Zini, Zhenghan Wang

arxiv:2110.13946 v1 · 2021-10-24 · math.QA · 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{KQB2E2J4WZFYNJTDZNSLK5ZWO7}

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

2 papers in Pith

Measures of Chirality in Mixed-State Topological Phases

Strong-to-Weak Spontaneous Symmetry Breaking

Receipt and verification

First computed	2026-07-05T03:26:22.008409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5403a2693cb64b86a663cb64b5773677e061195a7b4b7e8af928c0e0932ea8db

Aliases

arxiv: 2110.13946 · arxiv_version: 2110.13946v1 · doi: 10.48550/arxiv.2110.13946 · pith_short_12: KQB2E2J4WZFY · pith_short_16: KQB2E2J4WZFYNJTD · pith_short_8: KQB2E2J4

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/KQB2E2J4WZFYNJTDZNSLK5ZWO7 \
  | 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: 5403a2693cb64b86a663cb64b5773677e061195a7b4b7e8af928c0e0932ea8db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd07dd01330cd99d79ae54102f0786fb09b161d95b568d63663a76de5f26e4d3",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-10-24T13:53:38Z",
    "title_canon_sha256": "5b12eabc1ff1c94a1fa0ff4f2728df84b95ae86b52aac12f758f91364f1ef38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.13946",
    "kind": "arxiv",
    "version": 1
  }
}