Pith Number

pith:PATTIBOX

pith:2009:PATTIBOX5LNR4UJWNECWW7TZOO

not attested not anchored not stored refs pending

Detailed analysis of quantum phase transitions within the $u(2)$ algebra

L.Fortunato, L.Sartori

arxiv:0910.2341 v1 · 2009-10-13 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PATTIBOX5LNR4UJWNECWW7TZOO}

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	2026-05-18T02:34:19.110576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78273405d7eadb1e513669056b7e79738f885dc76ecbb9086c32d9add7938a0f

Aliases

arxiv: 0910.2341 · arxiv_version: 0910.2341v1 · doi: 10.48550/arxiv.0910.2341 · pith_short_12: PATTIBOX5LNR · pith_short_16: PATTIBOX5LNR4UJW · pith_short_8: PATTIBOX

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/PATTIBOX5LNR4UJWNECWW7TZOO \
  | 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: 78273405d7eadb1e513669056b7e79738f885dc76ecbb9086c32d9add7938a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b4af928520780d8dd720864ec9758f9840ae3d4f43d16be1d9db2be999b1d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2009-10-13T09:21:39Z",
    "title_canon_sha256": "f0f64344b98dc4d0f050d61ea84ba0ef60ea7f3630b4ff1ea0367329e2e4d384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2341",
    "kind": "arxiv",
    "version": 1
  }
}