Pith Number

pith:LD2AX7L5

pith:2026:LD2AX7L5PZEO4NJSAMM3QDWNOO

not attested not anchored not stored refs pending

Large scale neural quantum states reveal the interplay between superconductivity and quantum criticality in the Hofstadter-Hubbard model

Andrew Millis, Christopher Roth, Tomohiro Soejima

arxiv:2608.02753 v1 · 2026-08-03 · cond-mat.str-el · cond-mat.dis-nn · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LD2AX7L5PZEO4NJSAMM3QDWNOO}

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	2026-08-05T00:39:46.690817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f40bfd7d7e48ee35320319b80ecd739630b7f69f67ec3a16dc7e608ddd37fc

Aliases

arxiv: 2608.02753 · arxiv_version: 2608.02753v1 · doi: 10.48550/arxiv.2608.02753 · pith_short_12: LD2AX7L5PZEO · pith_short_16: LD2AX7L5PZEO4NJS · pith_short_8: LD2AX7L5

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/LD2AX7L5PZEO4NJSAMM3QDWNOO \
  | 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: 58f40bfd7d7e48ee35320319b80ecd739630b7f69f67ec3a16dc7e608ddd37fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4e95586e0b6bba92e6b95b25256872f3d99b0921449c44b7f22bfc188d6ffc",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.supr-con"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-08-03T18:01:16Z",
    "title_canon_sha256": "bcf71d61a2a50efe76237a04816e31a8ecb0296a5aba2159fb9f949e0cd3a4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02753",
    "kind": "arxiv",
    "version": 1
  }
}