Pith Number

pith:YSH5ZS5S

pith:2016:YSH5ZS5SYCLOAUHU7GFW4RXME4

not attested not anchored not stored refs pending

The $\mathbb{Z}_2$ toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit

Barbara Capogrosso-Sansone, Wei Wang

arxiv:1612.08514 v3 · 2016-12-27 · cond-mat.quant-gas · 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{YSH5ZS5SYCLOAUHU7GFW4RXME4}

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.

Receipt and verification

First computed	2026-05-18T00:32:44.034294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48fdccbb2c096e050f4f98b6e46ec2731e7e566176b6970b0fb3db2ba3216e2

Aliases

arxiv: 1612.08514 · arxiv_version: 1612.08514v3 · doi: 10.48550/arxiv.1612.08514 · pith_short_12: YSH5ZS5SYCLO · pith_short_16: YSH5ZS5SYCLOAUHU · pith_short_8: YSH5ZS5S

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/YSH5ZS5SYCLOAUHU7GFW4RXME4 \
  | 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: c48fdccbb2c096e050f4f98b6e46ec2731e7e566176b6970b0fb3db2ba3216e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d48c2db20b83a9fe1efd960939838e78a5972981db1f249eda37cbe196607f4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2016-12-27T06:54:55Z",
    "title_canon_sha256": "3cc26b6727c5cb11ca02c1bb525370bc75bf979683bc1bc0947946e302ea15f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08514",
    "kind": "arxiv",
    "version": 3
  }
}