Pith Number

pith:BAZR7IJP

pith:2019:BAZR7IJPGX2PQZTKIGTIWXPMFY

not attested not anchored not stored refs pending

Macroscopic and edge behavior of a planar jellium

David Garc\'ia-Zelada, Djalil Chafa\"i, Paul Jung

arxiv:1909.00613 v2 · 2019-09-02 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BAZR7IJPGX2PQZTKIGTIWXPMFY}

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	2026-07-05T00:51:30.511293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08331fa12f35f4f8666a41a68b5dec2e033459ee70c64c286396609df2528dad

Aliases

arxiv: 1909.00613 · arxiv_version: 1909.00613v2 · doi: 10.48550/arxiv.1909.00613 · pith_short_12: BAZR7IJPGX2P · pith_short_16: BAZR7IJPGX2PQZTK · pith_short_8: BAZR7IJP

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/BAZR7IJPGX2PQZTKIGTIWXPMFY \
  | 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: 08331fa12f35f4f8666a41a68b5dec2e033459ee70c64c286396609df2528dad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b32cc112d7ebd1ccae77dcc6b2d26d251fae502f23ac182883701e076ef2d19",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-09-02T09:15:28Z",
    "title_canon_sha256": "9baa626029009ee4424c419c477bf67360667dc412aff9ef5bed69951691e9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00613",
    "kind": "arxiv",
    "version": 2
  }
}