Pith Number

pith:O5224X63

pith:2019:O5224X63GNLZYZA5TUQLMM73OY

not attested not anchored not stored refs pending

An Exactly Solvable Model for a $4+1D$ Beyond-Cohomology Symmetry Protected Topological Phase

Jeongwan Haah, Lukasz Fidkowski, Matthew B. Hastings

arxiv:1912.05565 v2 · 2019-12-11 · cond-mat.str-el · hep-th · math-ph · math.MP · 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{O5224X63GNLZYZA5TUQLMM73OY}

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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

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models

Receipt and verification

First computed	2026-07-05T01:00:48.894366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7775ae5fdb33579c641d9d20b633fb762974159e5a2c857a49303cdddd9fc155

Aliases

arxiv: 1912.05565 · arxiv_version: 1912.05565v2 · doi: 10.48550/arxiv.1912.05565 · pith_short_12: O5224X63GNLZ · pith_short_16: O5224X63GNLZYZA5 · pith_short_8: O5224X63

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/O5224X63GNLZYZA5TUQLMM73OY \
  | 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: 7775ae5fdb33579c641d9d20b633fb762974159e5a2c857a49303cdddd9fc155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d907b7f5fd66ea0c3098697b535b9ad43c240b699bc8730d11e16f7dd89c2c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2019-12-11T19:00:11Z",
    "title_canon_sha256": "628e42f8457f53320f15c00ec17b5bb488183cab450a1608c478cfa924c938a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.05565",
    "kind": "arxiv",
    "version": 2
  }
}