Pith Number

pith:LK2ZIEY5

pith:2012:LK2ZIEY567MLVBAOSJ5KFDZA6N

not attested not anchored not stored refs pending

Finite temperature crossover from a crystalline to a cluster phase for a confined finite chain of ions

A. V. Zampetaki, F. K. Diakonos, P. Schmelcher

arxiv:1208.2042 v2 · 2012-08-09 · 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{LK2ZIEY567MLVBAOSJ5KFDZA6N}

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	2026-05-18T03:27:32.725027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ab594131df7d8ba840e927aa28f20f376eb4c0f12291c35997fbb14f6175ae4

Aliases

arxiv: 1208.2042 · arxiv_version: 1208.2042v2 · doi: 10.48550/arxiv.1208.2042 · pith_short_12: LK2ZIEY567ML · pith_short_16: LK2ZIEY567MLVBAO · pith_short_8: LK2ZIEY5

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/LK2ZIEY567MLVBAOSJ5KFDZA6N \
  | 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: 5ab594131df7d8ba840e927aa28f20f376eb4c0f12291c35997fbb14f6175ae4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67daaeb00968e0b49b776b2dc9d75a2b7ddc37492c32e35022ad2eae417158ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-08-09T21:15:16Z",
    "title_canon_sha256": "854450af16016bae31e06f07060aab238a7ff21bc534d31c84597333ecf2ea30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2042",
    "kind": "arxiv",
    "version": 2
  }
}