Pith Number

pith:ZNHK5LOK

pith:2012:ZNHK5LOK5PRP3FACPFO7BRHQJQ

not attested not anchored not stored refs pending

Phase Transitions in Systems with Finite Number of Atoms

Leonid Afremov, Yury Kirienko

arxiv:1201.1562 v2 · 2012-01-07 · cond-mat.mes-hall · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNHK5LOK5PRP3FACPFO7BRHQJQ}

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	2026-05-18T02:58:32.929693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4eaeadcaebe2fd9402795df0c4f04c362e542abcbae43ed34b9ad82ee3b5f7

Aliases

arxiv: 1201.1562 · arxiv_version: 1201.1562v2 · doi: 10.48550/arxiv.1201.1562 · pith_short_12: ZNHK5LOK5PRP · pith_short_16: ZNHK5LOK5PRP3FAC · pith_short_8: ZNHK5LOK

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/ZNHK5LOK5PRP3FACPFO7BRHQJQ \
  | 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: cb4eaeadcaebe2fd9402795df0c4f04c362e542abcbae43ed34b9ad82ee3b5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a158d10bc724517e0596a4c8027105d9a9d34346c656c1de79ff28f93b7e648",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2012-01-07T14:24:07Z",
    "title_canon_sha256": "57302408c6c171d3f820c48193d405efd16af0d03299ae079d9a105ada84279c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1562",
    "kind": "arxiv",
    "version": 2
  }
}