Pith Number

pith:ZGYQZPVI

pith:2013:ZGYQZPVIKIWSXGASI5FVNOGDWU

not attested not anchored not stored refs pending

Shift-invariance for FK-DLR states of a 2D quantum bose-gas

I. Stuhl, M. Kelbert, Y. Suhov

arxiv:1304.4177 v1 · 2013-04-15 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGYQZPVIKIWSXGASI5FVNOGDWU}

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	2026-05-18T03:27:55.288008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9b10cbea8522d2b9812474b56b8c3b51cd5ea18bcd92c997e2c428065177667

Aliases

arxiv: 1304.4177 · arxiv_version: 1304.4177v1 · doi: 10.48550/arxiv.1304.4177 · pith_short_12: ZGYQZPVIKIWS · pith_short_16: ZGYQZPVIKIWSXGAS · pith_short_8: ZGYQZPVI

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/ZGYQZPVIKIWSXGASI5FVNOGDWU \
  | 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: c9b10cbea8522d2b9812474b56b8c3b51cd5ea18bcd92c997e2c428065177667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2cd9da82796270f39792cbb13b17c8a02214dd563cdce894458367d275cb77",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-15T17:20:35Z",
    "title_canon_sha256": "bec2396a154fec4fd54eb670103697eb82bb2cfb68b73a15f726e82a2481c7fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4177",
    "kind": "arxiv",
    "version": 1
  }
}