Pith Number

pith:5JOBEMM7

pith:2000:5JOBEMM7ZKVNB2SJL5DVRI54SJ

not attested not anchored not stored refs pending

Cooper pair dispersion relation in two dimensions

A. A. Valladares, A. Puente, A. Rigo, M. A. Sol\'is, M. Casas, M. de Llano, M. Fortes, O. Rojo, S. K. Adhikari

arxiv:cond-mat/0004020 v5 · 2000-04-03 · cond-mat.str-el · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JOBEMM7ZKVNB2SJL5DVRI54SJ}

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	2026-05-18T01:40:08.768764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5c12319fcaaad0ea495f4758a3bc9272eee9b20bca88ce5abfe77db90f03f6

Aliases

arxiv: cond-mat/0004020 · arxiv_version: cond-mat/0004020v5 · doi: 10.48550/arxiv.cond-mat/0004020 · pith_short_12: 5JOBEMM7ZKVN · pith_short_16: 5JOBEMM7ZKVNB2SJ · pith_short_8: 5JOBEMM7

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/5JOBEMM7ZKVNB2SJL5DVRI54SJ \
  | 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: ea5c12319fcaaad0ea495f4758a3bc9272eee9b20bca88ce5abfe77db90f03f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a81f4002b77301aab2776899e7008caf4f229b8c8da11e1828bbae763714ec34",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2000-04-03T14:03:06Z",
    "title_canon_sha256": "add7760ec793ebf8d3b2c15d3d8cece8134159530896cb540a07ea0cfe010884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0004020",
    "kind": "arxiv",
    "version": 5
  }
}