Pith Number

pith:YCVHDFYP

pith:2019:YCVHDFYPUDQ2XGCHUOGT6R2MPG

not attested not anchored not stored refs pending

Floating Wigner crystal with no boundary charge fluctuations

Elliott H. Lieb, Mathieu Lewin, Robert Seiringer

arxiv:1905.09138 v3 · 2019-05-22 · cond-mat.str-el · math-ph · math.MP · physics.chem-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{YCVHDFYPUDQ2XGCHUOGT6R2MPG}

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	2026-07-04T23:50:40.337995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0aa71970fa0e1ab9847a38d3f474c79a4374fb3a0717ccfbacbffe6b79437c3

Aliases

arxiv: 1905.09138 · arxiv_version: 1905.09138v3 · doi: 10.48550/arxiv.1905.09138 · pith_short_12: YCVHDFYPUDQ2 · pith_short_16: YCVHDFYPUDQ2XGCH · pith_short_8: YCVHDFYP

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/YCVHDFYPUDQ2XGCHUOGT6R2MPG \
  | 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: c0aa71970fa0e1ab9847a38d3f474c79a4374fb3a0717ccfbacbffe6b79437c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aabb136064809c6eacdbb1cd46d6c0698054e57619240a34b44741b96818d27",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2019-05-22T13:43:54Z",
    "title_canon_sha256": "8d3373d85ebd5135b7cae241c5eb7407e403ca92356b0312382000c3ab83a26a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09138",
    "kind": "arxiv",
    "version": 3
  }
}