Pith Number

pith:3Z7MKZPH

pith:2019:3Z7MKZPHA6QFOEVKXQKMORDPEF

not attested not anchored not stored refs pending

Universal expansion of vortex clusters in a dissipative two-dimensional superfluid

Guillaume Gauthier, Kwan Goddard-Lee, Matthew J. Davis, Matthew T. Reeves, Oliver R. Stockdale, Tyler W. Neely, Warwick P. Bowen, Xiaoquan Yu

arxiv:1912.09535 v2 · 2019-12-19 · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3Z7MKZPHA6QFOEVKXQKMORDPEF}

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	2026-07-05T01:23:05.460166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de7ec565e707a05712aabc14c7446f2154a5de65b9c831b0f309720c32905cdf

Aliases

arxiv: 1912.09535 · arxiv_version: 1912.09535v2 · doi: 10.48550/arxiv.1912.09535 · pith_short_12: 3Z7MKZPHA6QF · pith_short_16: 3Z7MKZPHA6QFOEVK · pith_short_8: 3Z7MKZPH

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/3Z7MKZPHA6QFOEVKXQKMORDPEF \
  | 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: de7ec565e707a05712aabc14c7446f2154a5de65b9c831b0f309720c32905cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e05978eb0b194578bac66c424629b80e5dd38433b2212c862502cf4f110b8a99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2019-12-19T20:28:04Z",
    "title_canon_sha256": "effd1f34bb423c9c9fd923c0008bb93bdc082d87f1bb0538b8d3f28c67e94697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09535",
    "kind": "arxiv",
    "version": 2
  }
}