Pith Number

pith:QZ4EW3QW

pith:2010:QZ4EW3QWUMUJKUZI6SKVLMUBYW

not attested not anchored not stored refs pending

Estimating the Hubbard repulsion sufficient for the onset of nearly-flat-band ferromagnetism

Janusz Jedrzejewski, Lukasz Andrzejewski

arxiv:1012.0443 v1 · 2010-12-02 · cond-mat.str-el · math-ph · math.MP · quant-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{QZ4EW3QWUMUJKUZI6SKVLMUBYW}

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	2026-05-18T02:23:16.792156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86784b6e16a328955328f49555b281c590135c9d2dbf51044dc7f6babeb20238

Aliases

arxiv: 1012.0443 · arxiv_version: 1012.0443v1 · doi: 10.48550/arxiv.1012.0443 · pith_short_12: QZ4EW3QWUMUJ · pith_short_16: QZ4EW3QWUMUJKUZI · pith_short_8: QZ4EW3QW

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/QZ4EW3QWUMUJKUZI6SKVLMUBYW \
  | 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: 86784b6e16a328955328f49555b281c590135c9d2dbf51044dc7f6babeb20238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdc71ca12ce8be25d365f587437fe836519f4f71c97e5ee68c8d879023294b15",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-12-02T14:57:45Z",
    "title_canon_sha256": "0cdf12dc5651c0800a6f2177926d7739e3bc8519a976f7d0161e596eb483c588"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0443",
    "kind": "arxiv",
    "version": 1
  }
}