Pith Number

pith:X6WFDSWV

pith:2016:X6WFDSWVUH5N3SLPCW7DDI5QYT

not attested not anchored not stored refs pending

The complete set of infinite volume ground states for Kitaev's abelian quantum double models

Bruno Nachtergaele, Matthew Cha, Pieter Naaijkens

arxiv:1608.04449 v2 · 2016-08-16 · 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{X6WFDSWVUH5N3SLPCW7DDI5QYT}

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	2026-05-18T00:23:01.685579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfac51cad5a1faddc96f15be31a3b0c4eb79b684dafaef15acaa4a52483e74b6

Aliases

arxiv: 1608.04449 · arxiv_version: 1608.04449v2 · doi: 10.48550/arxiv.1608.04449 · pith_short_12: X6WFDSWVUH5N · pith_short_16: X6WFDSWVUH5N3SLP · pith_short_8: X6WFDSWV

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/X6WFDSWVUH5N3SLPCW7DDI5QYT \
  | 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: bfac51cad5a1faddc96f15be31a3b0c4eb79b684dafaef15acaa4a52483e74b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fcd9b40263539b44cfa9df0362bfdcbb6a03991eb144facff8a776263481f4",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-16T00:28:51Z",
    "title_canon_sha256": "c7fd8665d76133e3fb4d36cc015f8a442ebeb12f0089cb0f3e0d6e0367ad13d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04449",
    "kind": "arxiv",
    "version": 2
  }
}