Pith Number

pith:2UBUFLPQ

pith:2016:2UBUFLPQMIHFW7XT3XHR4E7BHD

not attested not anchored not stored refs pending

Order and Chaos in the One-Dimensional $\phi^4$ Model : N-Dependence and the Second Law of Thermodynamics

Kenichiro Aoki, William Graham Hoover

arxiv:1605.07721 v6 · 2016-05-25 · cond-mat.stat-mech · nlin.CD · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UBUFLPQMIHFW7XT3XHR4E7BHD}

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	2026-05-18T00:47:14.463972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50342adf0620e5b7ef3ddcf1e13e138e0dd17ca4a35a482b090410bbab05747

Aliases

arxiv: 1605.07721 · arxiv_version: 1605.07721v6 · doi: 10.48550/arxiv.1605.07721 · pith_short_12: 2UBUFLPQMIHF · pith_short_16: 2UBUFLPQMIHFW7XT · pith_short_8: 2UBUFLPQ

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/2UBUFLPQMIHFW7XT3XHR4E7BHD \
  | 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: d50342adf0620e5b7ef3ddcf1e13e138e0dd17ca4a35a482b090410bbab05747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b57a937ad38e4c229d44021f610e0341f574a6c6fe6e6211db5f7d65bdf894a9",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-05-25T03:59:43Z",
    "title_canon_sha256": "c5da340f226d3b618d3dd0c1d6e87f265a5777f02e2ee9c82b4fc960cfcecabd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07721",
    "kind": "arxiv",
    "version": 6
  }
}