Pith Number

pith:H5CKTBG3

pith:2016:H5CKTBG3JF7PCJCWH4L3PAUQ7I

not attested not anchored not stored refs pending

Universal Critical Behavior at a Phase Transition to Quantum Turbulence

Kazumasa A. Takeuchi, Masahiro Takahashi, Michikazu Kobayashi

arxiv:1609.01561 v1 · 2016-09-06 · cond-mat.quant-gas · cond-mat.other · cond-mat.stat-mech · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H5CKTBG3JF7PCJCWH4L3PAUQ7I}

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	2026-05-18T01:05:39.291659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f44a984db497ef124563f17b78290fa3bba477be3d3041ef858ec426c4506ac

Aliases

arxiv: 1609.01561 · arxiv_version: 1609.01561v1 · doi: 10.48550/arxiv.1609.01561 · pith_short_12: H5CKTBG3JF7P · pith_short_16: H5CKTBG3JF7PCJCW · pith_short_8: H5CKTBG3

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/H5CKTBG3JF7PCJCWH4L3PAUQ7I \
  | 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: 3f44a984db497ef124563f17b78290fa3bba477be3d3041ef858ec426c4506ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be8df31b942096eee9b8db76f37da6fd812f94d1c99ea2d066b31b36832275ba",
    "cross_cats_sorted": [
      "cond-mat.other",
      "cond-mat.stat-mech",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2016-09-06T14:09:56Z",
    "title_canon_sha256": "4cf997fd1d28635c88f540fe7403cfe433af2726674184c180c58f8b29ed371c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01561",
    "kind": "arxiv",
    "version": 1
  }
}