pith. sign in
Pith Number

pith:YANWUK32

pith:2016:YANWUK32XPGVIX2XDD2KKFU6Q2
not attested not anchored not stored refs pending

Rigidity of the Laughlin liquid

Elliott Lieb, Jakob Yngvason, Nicolas Rougerie (LPMMC)

arxiv:1609.03818 v5 · 2016-09-13 · math-ph · cond-mat.mes-hall · cond-mat.quant-gas · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YANWUK32XPGVIX2XDD2KKFU6Q2}

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 2026-05-18T00:14:16.686412Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c01b6a2b7abbcd545f5718f4a5169e86867c33499a4fa143023d5943599ca9d3

Aliases

arxiv: 1609.03818 · arxiv_version: 1609.03818v5 · doi: 10.48550/arxiv.1609.03818 · pith_short_12: YANWUK32XPGV · pith_short_16: YANWUK32XPGVIX2X · pith_short_8: YANWUK32
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YANWUK32XPGVIX2XDD2KKFU6Q2 \
  | 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: c01b6a2b7abbcd545f5718f4a5169e86867c33499a4fa143023d5943599ca9d3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f68b49e84760202bdaffa041be59039b7d1b1218dd0476983a5db2fd69f8272b",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.quant-gas",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-13T13:18:09Z",
    "title_canon_sha256": "ae9363792bd893fab68d50a4a1f7592285d89b76f260ac69285b22c93014b3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03818",
    "kind": "arxiv",
    "version": 5
  }
}