Pith Number

pith:Y5PDFXDT

pith:2012:Y5PDFXDTRE7OVKMMFVSKF3I4NB

not attested not anchored not stored refs pending

Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions

Andrew M. Essin, Michael Hermele

arxiv:1212.0593 v4 · 2012-12-04 · cond-mat.str-el · 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{Y5PDFXDTRE7OVKMMFVSKF3I4NB}

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

When Symmetries Twist: Anomaly Inflow on Monodromy Defects

Receipt and verification

First computed	2026-05-18T03:28:42.251061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c75e32dc73893eeaa98c2d64a2ed1c68459a23457c9c9de817fe43d98fbb3dbd

Aliases

arxiv: 1212.0593 · arxiv_version: 1212.0593v4 · doi: 10.48550/arxiv.1212.0593 · pith_short_12: Y5PDFXDTRE7O · pith_short_16: Y5PDFXDTRE7OVKMM · pith_short_8: Y5PDFXDT

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/Y5PDFXDTRE7OVKMMFVSKF3I4NB \
  | 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: c75e32dc73893eeaa98c2d64a2ed1c68459a23457c9c9de817fe43d98fbb3dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34eb66630bc436bf35e269ad7e0e767b0fa31bcffdf0eac8479c6db9c385eb8c",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-12-04T00:39:50Z",
    "title_canon_sha256": "0b4af9c8b974588258e8eb0c8e54273532af008c5332e4ecf6e1b50ab13a9a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0593",
    "kind": "arxiv",
    "version": 4
  }
}