Pith Number

pith:W7ITGPL5

pith:2007:W7ITGPL5VUTBZUI7BOVNRYGMPM

not attested not anchored not stored refs pending

Quantum phase transition in the two-band Hubbard model

A. Liebsch, T. A. Costi

arxiv:0707.4535 v2 · 2007-07-31 · 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{W7ITGPL5VUTBZUI7BOVNRYGMPM}

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	2026-05-18T04:09:15.325973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d1333d7dad261cd11f0baad8e0cc7b0a4833cedfbe44aa76ed502f96084733

Aliases

arxiv: 0707.4535 · arxiv_version: 0707.4535v2 · doi: 10.48550/arxiv.0707.4535 · pith_short_12: W7ITGPL5VUTB · pith_short_16: W7ITGPL5VUTBZUI7 · pith_short_8: W7ITGPL5

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/W7ITGPL5VUTBZUI7BOVNRYGMPM \
  | 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: b7d1333d7dad261cd11f0baad8e0cc7b0a4833cedfbe44aa76ed502f96084733

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c03ec0b6ff4babfb98e25fd964d79cfa4347754b7f0c477f8580168c11716cd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2007-07-31T05:36:39Z",
    "title_canon_sha256": "a88e39283f40e11039b1d567132f89d845738302b54ad1325dae0ab66634e33d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4535",
    "kind": "arxiv",
    "version": 2
  }
}