Pith Number

pith:Q5PMCGSO

pith:1998:Q5PMCGSOCCFIREEN6TA3NPFLG6

not attested not anchored not stored refs pending

Incremental expansions for the ground state energy of the two-dimensional Hubbard model

J. Malek, K. Kladko, S. Flach

arxiv:cond-mat/9810371 v2 · 1998-10-27 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5PMCGSOCCFIREEN6TA3NPFLG6}

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	2026-07-04T16:08:32.580833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

875ec11a4e108a88908df4c1b6bcab3797cf3ed2070fb01d33214d68e39303bc

Aliases

arxiv: cond-mat/9810371 · arxiv_version: cond-mat/9810371v2 · doi: 10.48550/arxiv.cond-mat/9810371 · pith_short_12: Q5PMCGSOCCFI · pith_short_16: Q5PMCGSOCCFIREEN · pith_short_8: Q5PMCGSO

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/Q5PMCGSOCCFIREEN6TA3NPFLG6 \
  | 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: 875ec11a4e108a88908df4c1b6bcab3797cf3ed2070fb01d33214d68e39303bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7e8115f2fae650302a8d8995b98aa03e601cf2f1badf0981981c2315249884b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "1998-10-27T17:04:42Z",
    "title_canon_sha256": "0bfaee9a0c6d3fa84325a70dba3ce9fcebb2c697b333ab600bbede0a77180ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9810371",
    "kind": "arxiv",
    "version": 2
  }
}