Pith Number

pith:3M6NW3JP

pith:2025:3M6NW3JPMWFFDZ52PFLT3TJJ36

not attested not anchored not stored refs pending

Machine-Learned Many-Body Potentials for Charged Colloids reveal Gas-Liquid Spinodal Instabilities only in the strong-coupling regime of Primitive Models

Marjolein Dijkstra, Ren\'e van Roij, Thijs ter Rele

arxiv:2512.18322 v2 · 2025-12-20 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3M6NW3JPMWFFDZ52PFLT3TJJ36}

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	2026-06-26T01:15:48.053140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3cdb6d2f658a51e7ba79573dcd29dfa65830d016a636afb2710c0f8cd03cd2

Aliases

arxiv: 2512.18322 · arxiv_version: 2512.18322v2 · doi: 10.48550/arxiv.2512.18322 · pith_short_12: 3M6NW3JPMWFF · pith_short_16: 3M6NW3JPMWFFDZ52 · pith_short_8: 3M6NW3JP

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/3M6NW3JPMWFFDZ52PFLT3TJJ36 \
  | 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: db3cdb6d2f658a51e7ba79573dcd29dfa65830d016a636afb2710c0f8cd03cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a9d14e230462837885cd4da76e57ad818f418c1336af11a245cbe3a5e87fc8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2025-12-20T11:41:44Z",
    "title_canon_sha256": "186c06f3010ba50989a71923ceead0b5aee64b21923c2955bcff45286060e915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18322",
    "kind": "arxiv",
    "version": 2
  }
}