Pith Number

pith:6Z2EGTCG

pith:2021:6Z2EGTCGW7RMKT2EJYNY5BFUM4

not attested not anchored not stored refs pending

A derivation of braided $C^*$-tensor categories from gapped ground states satisfying the approximate Haag duality

Yoshiko Ogata

arxiv:2106.15741 v1 · 2021-06-29 · math-ph · cond-mat.stat-mech · math.MP · math.OA · 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{6Z2EGTCGW7RMKT2EJYNY5BFUM4}

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

1 paper in Pith

Microscopic universal theory of symmetry-enriched topological quantum spin liquids

Receipt and verification

First computed	2026-07-05T08:33:21.263170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f674434c46b7e2c54f444e1b8e84b4673e18468093626cdd2eb880daba2f6781

Aliases

arxiv: 2106.15741 · arxiv_version: 2106.15741v1 · doi: 10.48550/arxiv.2106.15741 · pith_short_12: 6Z2EGTCGW7RM · pith_short_16: 6Z2EGTCGW7RMKT2E · pith_short_8: 6Z2EGTCG

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/6Z2EGTCGW7RMKT2EJYNY5BFUM4 \
  | 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: f674434c46b7e2c54f444e1b8e84b4673e18468093626cdd2eb880daba2f6781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9b31bd000a8d51b091356d9be43a47e10359f6cf06950c732026651af75b24",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.OA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-06-29T21:58:48Z",
    "title_canon_sha256": "04b1cc6210c4673217463746064c003104f23c048cc763cf06e296b762588616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15741",
    "kind": "arxiv",
    "version": 1
  }
}