Pith Number

pith:TK7QNRD7

pith:2023:TK7QNRD7LMS7DBAAMC6I6TYO6S

not attested not anchored not stored refs pending

Entanglement spectrum of matchgate circuits with universal and non-universal resources

Andrew M. Projansky, James D. Whitfield, Joshuah T. Heath

arxiv:2312.08447 v3 · 2023-12-13 · quant-ph · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TK7QNRD7LMS7DBAAMC6I6TYO6S}

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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

1 paper in Pith

Typical Entanglement of Superpositions

Receipt and verification

First computed	2026-07-05T08:53:08.228802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abf06c47f5b25f1840060bc8f4f0ef4bcef4b06c6c2504cd95ef4448829ee9a

Aliases

arxiv: 2312.08447 · arxiv_version: 2312.08447v3 · doi: 10.48550/arxiv.2312.08447 · pith_short_12: TK7QNRD7LMS7 · pith_short_16: TK7QNRD7LMS7DBAA · pith_short_8: TK7QNRD7

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/TK7QNRD7LMS7DBAAMC6I6TYO6S \
  | 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: 9abf06c47f5b25f1840060bc8f4f0ef4bcef4b06c6c2504cd95ef4448829ee9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d57395e56f2dc868f29d1c0400e7173ff0dbe9bbdde2e1d9fed5ad840ee21a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-12-13T19:00:03Z",
    "title_canon_sha256": "8a509986e3bb9ce0431dd8e1700d8f4d331f13787087b409c01cc0257612831a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.08447",
    "kind": "arxiv",
    "version": 3
  }
}