Pith Number

pith:3AOC7KHX

pith:2013:3AOC7KHXWTTJPZGY3V4YSNQHWF

not attested not anchored not stored refs pending

Wigner crystallization in the quantum 1D jellium at all densities

Paul Jung, Sabine Jansen

arxiv:1306.6906 v2 · 2013-06-28 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AOC7KHXWTTJPZGY3V4YSNQHWF}

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	2026-05-18T02:42:46.665393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81c2fa8f7b4e697e4d8dd79893607b14be35f3993c686834d07c80b7fba4cb4

Aliases

arxiv: 1306.6906 · arxiv_version: 1306.6906v2 · doi: 10.48550/arxiv.1306.6906 · pith_short_12: 3AOC7KHXWTTJ · pith_short_16: 3AOC7KHXWTTJPZGY · pith_short_8: 3AOC7KHX

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/3AOC7KHXWTTJPZGY3V4YSNQHWF \
  | 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: d81c2fa8f7b4e697e4d8dd79893607b14be35f3993c686834d07c80b7fba4cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0eaa88b3092bb737e73a631c136f96c37b9a304653775feec78760ccbfd7ae26",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-28T17:49:00Z",
    "title_canon_sha256": "d5960479268a98a243bf8698478196d6b2b28abe27d5a57f553b70c3ee057761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6906",
    "kind": "arxiv",
    "version": 2
  }
}