Pith Number

pith:ZNX74ZG5

pith:2009:ZNX74ZG5TVANR7DHYAS45TGKUE

not attested not anchored not stored refs pending

The Hubbard model extended by nearest-neighbor Coulomb and exchange interaction on a cubic cluster - rigorous and exact results

David Zwicker, Rolf Schumann

arxiv:0906.3589 v1 · 2009-06-19 · cond-mat.str-el · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNX74ZG5TVANR7DHYAS45TGKUE}

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	2026-05-18T02:13:18.859976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6ffe64dd9d40d8fc67c025cecccaa116eccb3802de70d5b51fc261a02bf16c

Aliases

arxiv: 0906.3589 · arxiv_version: 0906.3589v1 · doi: 10.48550/arxiv.0906.3589 · pith_short_12: ZNX74ZG5TVAN · pith_short_16: ZNX74ZG5TVANR7DH · pith_short_8: ZNX74ZG5

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/ZNX74ZG5TVANR7DHYAS45TGKUE \
  | 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: cb6ffe64dd9d40d8fc67c025cecccaa116eccb3802de70d5b51fc261a02bf16c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2656082509db93fd1c46e8dd64b900f242cc772a574b3ec6ff885b596d7ab627",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2009-06-19T15:56:39Z",
    "title_canon_sha256": "da50187f78d0a2fc57f5ac6fb5ab75af09514ecef7ae0d8fec82d4acb2e82ead"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3589",
    "kind": "arxiv",
    "version": 1
  }
}