Pith Number

pith:SAAY5PSC

pith:2013:SAAY5PSCCXUMHBLCCXH4ZG4WMD

not attested not anchored not stored refs pending

Large-N asymptotic expansion for mean field models with Coulomb gas interaction

Alice Guionnet, Ga\"etan Borot, Karol K. Kozlowski

arxiv:1312.6664 v2 · 2013-12-23 · math-ph · 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{SAAY5PSCCXUMHBLCCXH4ZG4WMD}

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	2026-05-18T01:03:12.217757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90018ebe4215e8c3856215cfcc9b9660fc507b9c3e0feeefdab1b3928e99ffb5

Aliases

arxiv: 1312.6664 · arxiv_version: 1312.6664v2 · doi: 10.48550/arxiv.1312.6664 · pith_short_12: SAAY5PSCCXUM · pith_short_16: SAAY5PSCCXUMHBLC · pith_short_8: SAAY5PSC

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/SAAY5PSCCXUMHBLCCXH4ZG4WMD \
  | 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: 90018ebe4215e8c3856215cfcc9b9660fc507b9c3e0feeefdab1b3928e99ffb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71ac0f267f575693755a5ec93dfd5db4f485af5c8ac5774ad6c48fef6bca440",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-23T20:26:34Z",
    "title_canon_sha256": "c79406602bae8e46e96167e8f18a64042629fcdac42a9d3e762d5ee668aa1ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6664",
    "kind": "arxiv",
    "version": 2
  }
}