Pith Number

pith:SE46Z5AV

pith:2018:SE46Z5AV2RF2PT34QPEABXLG5W

not attested not anchored not stored refs pending

Loss of Gibbs property in one-dimensional mixing shifts of finite type

Soonjo Hong

arxiv:1812.06219 v1 · 2018-12-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SE46Z5AV2RF2PT34QPEABXLG5W}

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	2026-05-17T23:58:12.840495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9139ecf415d44ba7cf7c83c800dd66ed8ef92e5b265d619b3200518c611f469a

Aliases

arxiv: 1812.06219 · arxiv_version: 1812.06219v1 · doi: 10.48550/arxiv.1812.06219 · pith_short_12: SE46Z5AV2RF2 · pith_short_16: SE46Z5AV2RF2PT34 · pith_short_8: SE46Z5AV

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/SE46Z5AV2RF2PT34QPEABXLG5W \
  | 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: 9139ecf415d44ba7cf7c83c800dd66ed8ef92e5b265d619b3200518c611f469a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658118438ab37585424203a6ba9f0d8384558f2694f17b9631fa2550ab2d6a52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-15T02:01:47Z",
    "title_canon_sha256": "cf0523fc425b520a565b3b616616329d50bb772a8b6cff860dec5011290bd136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06219",
    "kind": "arxiv",
    "version": 1
  }
}