Pith Number

pith:QQJP2ZFT

pith:2010:QQJP2ZFTNJPOT72PPN2YHENJRY

not attested not anchored not stored refs pending

Electric-magnetic duality of lattice systems with topological order

Liang Kong, Matthias Christandl, Miguel Aguado, Oliver Buerschaper

arxiv:1006.5823 v2 · 2010-06-30 · cond-mat.str-el · math-ph · math.MP · math.QA · 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{QQJP2ZFTNJPOT72PPN2YHENJRY}

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

Algebraic locality and non-invertible Gauss laws

Receipt and verification

First computed	2026-05-18T03:11:09.983641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8412fd64b36a5ee9ff4f7b758391a98e11fc628dbcc57cc41d1d085bcfac816c

Aliases

arxiv: 1006.5823 · arxiv_version: 1006.5823v2 · doi: 10.48550/arxiv.1006.5823 · pith_short_12: QQJP2ZFTNJPO · pith_short_16: QQJP2ZFTNJPOT72P · pith_short_8: QQJP2ZFT

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/QQJP2ZFTNJPOT72PPN2YHENJRY \
  | 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: 8412fd64b36a5ee9ff4f7b758391a98e11fc628dbcc57cc41d1d085bcfac816c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a871a4cb2829bec35148139fbaf0f961ab9ddfa1eb79706aa4fc33f4ada4d5ad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-06-30T09:57:52Z",
    "title_canon_sha256": "9c1aeea6743d2aaff1a4a0216d1cdeb78eca03bb244ed41706aab5de0002153e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5823",
    "kind": "arxiv",
    "version": 2
  }
}