Pith Number

pith:XY2OPZ7F

pith:2012:XY2OPZ7F7PIRQ65IECMHMYCZKH

not attested not anchored not stored refs pending

Wigner Crystallization in Two Dimensions: Evolution from Long- to Short-Ranged Forces

Benjamin M. Fregoso, C. A. R. S\'a de Melo

arxiv:1211.6720 v2 · 2012-11-28 · cond-mat.str-el · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XY2OPZ7F7PIRQ65IECMHMYCZKH}

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	2026-05-18T01:52:53.671957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be34e7e7e5fbd1187ba8209876605951e45777b43b2dc8cf9402213c49dee458

Aliases

arxiv: 1211.6720 · arxiv_version: 1211.6720v2 · doi: 10.48550/arxiv.1211.6720 · pith_short_12: XY2OPZ7F7PIR · pith_short_16: XY2OPZ7F7PIRQ65I · pith_short_8: XY2OPZ7F

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/XY2OPZ7F7PIRQ65IECMHMYCZKH \
  | 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: be34e7e7e5fbd1187ba8209876605951e45777b43b2dc8cf9402213c49dee458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e6b1a06a606d6861c0ff4292fdc4e2cfce8cf23a225c4c3d06af124c6babf3",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-11-28T20:00:22Z",
    "title_canon_sha256": "64b02b72832efc6fa7b797b441a9bee2ea9406e589a87267e74c7cb343a1d933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6720",
    "kind": "arxiv",
    "version": 2
  }
}