Pith Number

pith:WM6NA3AA

pith:2025:WM6NA3AAN45AKDZQIVMPSKPQWR

not attested not anchored not stored refs pending

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory

Andrey A. Bagrov, Askar Iliasov, Tom\'a\v{s} Bzdu\v{s}ek, Vladimir Bashmakov

arxiv:2509.09330 v1 · 2025-09-11 · cond-mat.supr-con · cond-mat.str-el · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WM6NA3AAN45AKDZQIVMPSKPQWR}

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.

Cited by

3 papers in Pith

Magnetic long-range order at finite temperature in two-dimensional hyperbolic lattices

Lieb-Schultz-Mattis constraints for hyperbolic lattices

Extended Hubbard model on fractals: d-Wave superconductivity and competing pairing channels

Receipt and verification

First computed	2026-07-05T12:09:34.195699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b33cd06c006f3a050f304558f929f0b4594c2effaf1cfe766b6497bc2c5d7995

Aliases

arxiv: 2509.09330 · arxiv_version: 2509.09330v1 · doi: 10.48550/arxiv.2509.09330 · pith_short_12: WM6NA3AAN45A · pith_short_16: WM6NA3AAN45AKDZQ · pith_short_8: WM6NA3AA

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/WM6NA3AAN45AKDZQIVMPSKPQWR \
  | 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: b33cd06c006f3a050f304558f929f0b4594c2effaf1cfe766b6497bc2c5d7995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c5ee7c767309652ee4f9d981bbc586c5815f2d65124058d882437fd88d33c7",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.supr-con",
    "submitted_at": "2025-09-11T10:28:44Z",
    "title_canon_sha256": "138497eefe028bd8669533a64d97002345502d371defc539766e6439b9d3d7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09330",
    "kind": "arxiv",
    "version": 1
  }
}