Pith Number

pith:V27UXBJD

pith:2026:V27UXBJD37G4NH3NRPANLVYC7N

not attested not anchored not stored refs pending

Exact Nagaoka-to-spiral transition in the doped infinite-U triangular lattice

Cristian D. Batista, Yang Zhang

arxiv:2607.20726 v1 · 2026-07-22 · cond-mat.str-el · 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{V27UXBJD37G4NH3NRPANLVYC7N}

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	2026-07-24T00:23:31.472450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aebf4b8523dfcdc69f6d8bc0d5d702fb4f421087fe8b6cd578a8994cecdd9bb3

Aliases

arxiv: 2607.20726 · arxiv_version: 2607.20726v1 · doi: 10.48550/arxiv.2607.20726 · pith_short_12: V27UXBJD37G4 · pith_short_16: V27UXBJD37G4NH3N · pith_short_8: V27UXBJD

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/V27UXBJD37G4NH3NRPANLVYC7N \
  | 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: aebf4b8523dfcdc69f6d8bc0d5d702fb4f421087fe8b6cd578a8994cecdd9bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b27a129d8a825845432cdab265922c9c1904d8c92f8b77312c98c46a370d23ac",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-22T20:54:17Z",
    "title_canon_sha256": "9114696d68d5536cbea0ed37dc0160a19b8e2d88c3711822e6a5d91dd79a4c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20726",
    "kind": "arxiv",
    "version": 1
  }
}