Pith Number

pith:VQV35X32

pith:2006:VQV35X32GIJNDBV5NFDN536G5J

not attested not anchored not stored refs pending

Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension

Chetan Nayak, Kirill Shtengel, Matthias Troyer, Philipp Werner, Simon Trebst

arxiv:cond-mat/0609048 v1 · 2006-09-03 · cond-mat.stat-mech · cond-mat.str-el · hep-lat · 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{VQV35X32GIJNDBV5NFDN536G5J}

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	2026-07-04T15:33:10.899782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2bbedf7a3212d186bd6946deefc6ea7057fbebe70b456a3b8df7614c8ed3b9

Aliases

arxiv: cond-mat/0609048 · arxiv_version: cond-mat/0609048v1 · doi: 10.48550/arxiv.cond-mat/0609048 · pith_short_12: VQV35X32GIJN · pith_short_16: VQV35X32GIJNDBV5 · pith_short_8: VQV35X32

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/VQV35X32GIJNDBV5NFDN536G5J \
  | 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: ac2bbedf7a3212d186bd6946deefc6ea7057fbebe70b456a3b8df7614c8ed3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ffd6f3d24833c9787c7505f06f605ce949f568a42a53ecf7074f18d719158f5",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-lat",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-09-03T20:11:47Z",
    "title_canon_sha256": "44c8f6e220050de4f9a772496c759f6700d2b1b43802c8d838589fad14e9c606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0609048",
    "kind": "arxiv",
    "version": 1
  }
}