Pith Number

pith:JTNGIZFQ

pith:2012:JTNGIZFQ7H4DWG6MOKVIFIQUIP

not attested not anchored not stored refs pending

Particle Systems with Repulsion Exponent $\beta$ and Random Matrices

Martin Venker

arxiv:1209.3178 v2 · 2012-09-14 · 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{JTNGIZFQ7H4DWG6MOKVIFIQUIP}

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	2026-05-18T03:01:11.070347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cda6464b0f9f83b1bcc72aa82a21443cae9ae9c7c04761b1dae6a44b9793710

Aliases

arxiv: 1209.3178 · arxiv_version: 1209.3178v2 · doi: 10.48550/arxiv.1209.3178 · pith_short_12: JTNGIZFQ7H4D · pith_short_16: JTNGIZFQ7H4DWG6M · pith_short_8: JTNGIZFQ

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/JTNGIZFQ7H4DWG6MOKVIFIQUIP \
  | 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: 4cda6464b0f9f83b1bcc72aa82a21443cae9ae9c7c04761b1dae6a44b9793710

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed5ecbddaa828b50a863c1cf6e79905e3e7520812b94997526f0acd6ad594fe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-14T13:17:41Z",
    "title_canon_sha256": "fe7aac1952fb01276d6f4838bba1836ab8348da795e4702e5337b2c8eb7bdfc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3178",
    "kind": "arxiv",
    "version": 2
  }
}