Pith Number

pith:FL3TFFDY

pith:1998:FL3TFFDY2YMKIBFXCIOBYEGDQ4

not attested not anchored not stored refs pending

New integrable extension of the Hubbard chain with variable range hopping

Shuichi Murakami

arxiv:cond-mat/9802066 v1 · 1998-02-06 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FL3TFFDY2YMKIBFXCIOBYEGDQ4}

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	2026-05-18T01:07:07.504108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2af7329478d618a404b7121c1c10c3873028717a0fc80e2cb10bfa331cf658b9

Aliases

arxiv: cond-mat/9802066 · arxiv_version: cond-mat/9802066v1 · doi: 10.48550/arxiv.cond-mat/9802066 · pith_short_12: FL3TFFDY2YMK · pith_short_16: FL3TFFDY2YMKIBFX · pith_short_8: FL3TFFDY

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/FL3TFFDY2YMKIBFXCIOBYEGDQ4 \
  | 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: 2af7329478d618a404b7121c1c10c3873028717a0fc80e2cb10bfa331cf658b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3ff47e5364b9f4397e79b1b831519bda8074276e99b145654ae3796dc4bb30",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1998-02-06T03:19:38Z",
    "title_canon_sha256": "e3409f60b5376d607e5fedcc3c1385f4ed473255f759211440bfab5cb12ae353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9802066",
    "kind": "arxiv",
    "version": 1
  }
}