Pith Number

pith:LBDHBVED

pith:2016:LBDHBVED7KSANPP66XGXUZPCYB

not attested not anchored not stored refs pending

Nagaoka's theorem in the Holstein-Hubbard model

Tadahiro Miyao

arxiv:1611.08659 v4 · 2016-11-26 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBDHBVED7KSANPP66XGXUZPCYB}

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	2026-05-18T00:20:07.302069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584670d483faa406bdfef5cd7a65e2c05eb528f619f7255fe53fd4a594b17d82

Aliases

arxiv: 1611.08659 · arxiv_version: 1611.08659v4 · doi: 10.48550/arxiv.1611.08659 · pith_short_12: LBDHBVED7KSA · pith_short_16: LBDHBVED7KSANPP6 · pith_short_8: LBDHBVED

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/LBDHBVED7KSANPP66XGXUZPCYB \
  | 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: 584670d483faa406bdfef5cd7a65e2c05eb528f619f7255fe53fd4a594b17d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c2f8d1703cd4a6aa22d328c0389463ce798d247fe93ee630dbc3a4cd7cf5b90",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-26T05:18:52Z",
    "title_canon_sha256": "dbbaf40f51eaade199a17886714b925c94582d816a4afa5f699b713e8c2f44b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08659",
    "kind": "arxiv",
    "version": 4
  }
}