Pith Number

pith:HQTMXLX3

pith:2026:HQTMXLX3OKXKLBFWSTL67V5R7Z

not attested not anchored not stored refs pending

Dual Gauge Theory for Two Dimensional Superfluid Turbulence

Sayak Bhattacharjee, Srinivas Raghu, Tobias Helbig

arxiv:2608.12485 v1 · 2026-08-12 · cond-mat.quant-gas · physics.flu-dyn · quant-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{HQTMXLX3OKXKLBFWSTL67V5R7Z}

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	2026-08-14T00:43:52.015351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c26cbaefb72aea584b694d7efd7b1fe64c6dc3d2e4f2e4b021c7139b9ac8be1

Aliases

arxiv: 2608.12485 · arxiv_version: 2608.12485v1 · doi: 10.48550/arxiv.2608.12485 · pith_short_12: HQTMXLX3OKXK · pith_short_16: HQTMXLX3OKXKLBFW · pith_short_8: HQTMXLX3

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/HQTMXLX3OKXKLBFWSTL67V5R7Z \
  | 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: 3c26cbaefb72aea584b694d7efd7b1fe64c6dc3d2e4f2e4b021c7139b9ac8be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcee8d156c4672f78da8410a0eb1042c4686bf67d9a052ba2339d50129d4dea1",
    "cross_cats_sorted": [
      "physics.flu-dyn",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-08-12T18:06:34Z",
    "title_canon_sha256": "194f4169ca84ff073908bb13d3635286924166bffd479e00a69ffce3ad172893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12485",
    "kind": "arxiv",
    "version": 1
  }
}