Pith Number

pith:M5RES2KG

pith:1998:M5RES2KGUL3GCLCHLS43QYHRFZ

not attested not anchored not stored refs pending

"Symmetry properties of magnetization in the Hubbard model at finite temperature": Comment on 'Reply to Comment'

2) ((1) University of Salerno, A. Avella(1), D. Villani(1, F. Mancini(1), Italy; (2) Rutgers University, USA)

arxiv:cond-mat/9808109 v1 · 1998-08-11 · 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{M5RES2KGUL3GCLCHLS43QYHRFZ}

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	2026-07-04T14:23:11.772513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6762496946a2f6612c475cb9b860f12e62efd8387f081efc992c95e3994caf9d

Aliases

arxiv: cond-mat/9808109 · arxiv_version: cond-mat/9808109v1 · doi: 10.48550/arxiv.cond-mat/9808109 · pith_short_12: M5RES2KGUL3G · pith_short_16: M5RES2KGUL3GCLCH · pith_short_8: M5RES2KG

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/M5RES2KGUL3GCLCHLS43QYHRFZ \
  | 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: 6762496946a2f6612c475cb9b860f12e62efd8387f081efc992c95e3994caf9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acb67652fa0946570daef3bbeb2463b8c14958d732df5fcf29c2604e5d76d833",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "1998-08-11T17:30:48Z",
    "title_canon_sha256": "ca085af2542bbc021c09e5ece00ca450b450e85ec38df02a62cff4d6ebbd827d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9808109",
    "kind": "arxiv",
    "version": 1
  }
}