Pith. sign in
Pith Number

pith:GYR7TPRV

pith:2026:GYR7TPRVAO44OV5NFTKIG6P7Y2
not attested not anchored not stored refs pending

Lecture Notes: The two-dimensional electron Wigner crystal -- What's old and what's new?

Brian Skinner

arxiv:2607.13933 v1 · 2026-07-15 · cond-mat.str-el · cond-mat.mes-hall

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GYR7TPRVAO44OV5NFTKIG6P7Y2}

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 2026-07-16T01:23:14.604694Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3623f9be3503b9c757ad2cd48379ffc69c943c2cfa8fafeb84e31eeb7b02466a

Aliases

arxiv: 2607.13933 · arxiv_version: 2607.13933v1 · doi: 10.48550/arxiv.2607.13933 · pith_short_12: GYR7TPRVAO44 · pith_short_16: GYR7TPRVAO44OV5N · pith_short_8: GYR7TPRV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2 \
  | 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: 3623f9be3503b9c757ad2cd48379ffc69c943c2cfa8fafeb84e31eeb7b02466a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7739bf08879ae52fc1dcd849e2d8b39782cf88fbb03c31841510932dc8962b83",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-15T15:14:26Z",
    "title_canon_sha256": "257f5fb2c508491a4eba9beb427a59ed4fe85fa9718d9ce2d451f092e2308680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13933",
    "kind": "arxiv",
    "version": 1
  }
}