Pith Number

pith:ELL3OZA6

pith:2004:ELL3OZA6KATFXR6IZ6O7WGCOPA

not attested not anchored not stored refs pending

Spin-Dependent Hubbard Model and a Quantum Phase Transition in Cold Atoms

Frank Wilczek, Peter Zoller, W. Vincent Liu

arxiv:cond-mat/0404478 v4 · 2004-04-20 · cond-mat.supr-con · cond-mat.stat-mech · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELL3OZA6KATFXR6IZ6O7WGCOPA}

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	2026-05-18T01:06:54.203854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22d7b7641e50265bc7c8cf9dfb184e781770aad86421ece9e4e4404bfc46b5a4

Aliases

arxiv: cond-mat/0404478 · arxiv_version: cond-mat/0404478v4 · doi: 10.48550/arxiv.cond-mat/0404478 · pith_short_12: ELL3OZA6KATF · pith_short_16: ELL3OZA6KATFXR6I · pith_short_8: ELL3OZA6

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/ELL3OZA6KATFXR6IZ6O7WGCOPA \
  | 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: 22d7b7641e50265bc7c8cf9dfb184e781770aad86421ece9e4e4404bfc46b5a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1726d421394846b34422cef28246dcbbc6866afc5826ec811827712b67bd281f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "cond-mat.supr-con",
    "submitted_at": "2004-04-20T20:04:31Z",
    "title_canon_sha256": "4c9742137438a4c8cfdc7abdd1484c037742958507ec71f2a07fed5e6d0f3462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0404478",
    "kind": "arxiv",
    "version": 4
  }
}