Pith Number

pith:5U2ZCXGV

pith:2007:5U2ZCXGVSDXWJ2FZNNQ3UJFOGE

not attested not anchored not stored refs pending

The differential information-geometry of quantum phase transitions

M. Cozzini, P. Giorda, P. Zanardi

arxiv:quant-ph/0701061 v1 · 2007-01-11 · 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{5U2ZCXGVSDXWJ2FZNNQ3UJFOGE}

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.

Cited by

1 paper in Pith

Quantum Geometry Phenomena in Condensed Matter Systems

Receipt and verification

First computed	2026-07-04T14:58:39.619479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed35915cd590ef64e8b96b61ba24ae3116adf9563173bb0f356dfdefbcba7850

Aliases

arxiv: quant-ph/0701061 · arxiv_version: quant-ph/0701061v1 · doi: 10.48550/arxiv.quant-ph/0701061 · pith_short_12: 5U2ZCXGVSDXW · pith_short_16: 5U2ZCXGVSDXWJ2FZ · pith_short_8: 5U2ZCXGV

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/5U2ZCXGVSDXWJ2FZNNQ3UJFOGE \
  | 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: ed35915cd590ef64e8b96b61ba24ae3116adf9563173bb0f356dfdefbcba7850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d40f1d9ea4938c4a73258b16664470ce1ac42b6a324442146a577eb3479da4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-11T14:50:36Z",
    "title_canon_sha256": "309c775b69b7fb0024f90bed6ac1756c91220fa8b7887d131b106c936cc12306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0701061",
    "kind": "arxiv",
    "version": 1
  }
}