Pith Number

pith:LCHBJJMQ

pith:2017:LCHBJJMQQO5HWP234II3OR6HOX

not attested not anchored not stored refs pending

Gaussian Mean Fields Lattice Gas

Alessio Troiani, Benedetto Scoppola

arxiv:1711.03581 v2 · 2017-11-09 · 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{LCHBJJMQQO5HWP234II3OR6HOX}

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	2026-05-18T00:19:25.405683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588e14a59083ba7b3f5be211b747c775f45b43c6c3357074083466b2953a4691

Aliases

arxiv: 1711.03581 · arxiv_version: 1711.03581v2 · doi: 10.48550/arxiv.1711.03581 · pith_short_12: LCHBJJMQQO5H · pith_short_16: LCHBJJMQQO5HWP23 · pith_short_8: LCHBJJMQ

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/LCHBJJMQQO5HWP234II3OR6HOX \
  | 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: 588e14a59083ba7b3f5be211b747c775f45b43c6c3357074083466b2953a4691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbfad9902ea32311df54616dc8ba622af7055b8c5a77d1f3daa1e619f45f97ab",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-09T20:15:36Z",
    "title_canon_sha256": "02c6a206bddae6814f671e9f9f9aa48f71a36ac5ae3ebd6b75efa10c7a2369d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03581",
    "kind": "arxiv",
    "version": 2
  }
}