Pith Number

pith:4LYQE6LA

pith:2018:4LYQE6LAF6OMSQE62HAK4X3JTH

not attested not anchored not stored refs pending

A "mean-field approximation" on the phase transitions of three-dimensional Lennard-Jones model

Hisato Komatsu

arxiv:1804.05523 v2 · 2018-04-16 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LYQE6LAF6OMSQE62HAK4X3JTH}

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	2026-05-18T00:18:24.917555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f10279602f9cc9409ed1c0ae5f6999f19acd0369c8fe7788f4663cb7cc071b

Aliases

arxiv: 1804.05523 · arxiv_version: 1804.05523v2 · doi: 10.48550/arxiv.1804.05523 · pith_short_12: 4LYQE6LAF6OM · pith_short_16: 4LYQE6LAF6OMSQE6 · pith_short_8: 4LYQE6LA

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/4LYQE6LAF6OMSQE62HAK4X3JTH \
  | 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: e2f10279602f9cc9409ed1c0ae5f6999f19acd0369c8fe7788f4663cb7cc071b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "198ef4459174db3901d9c01f1f7f84dcf7c30ed2a1675ebde7655e664d33f6fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-04-16T07:18:24Z",
    "title_canon_sha256": "df24585a14c1c68e4249ca8740b8a7f049ea427927576cf424f26fd9b84f0262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05523",
    "kind": "arxiv",
    "version": 2
  }
}