Pith Number

pith:5AQ2BYIS

pith:2010:5AQ2BYISPK2G5SYV3R7ANB2Q5A

not attested not anchored not stored refs pending

Ground state factorization and correlations with broken symmetry

Alioscia Hamma, Bruno Tomasello, Davide Rossini, Luigi Amico

arxiv:1012.4270 v2 · 2010-12-20 · quant-ph · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AQ2BYISPK2G5SYV3R7ANB2Q5A}

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	2026-05-18T04:12:19.291750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e821a0e1127ab46ecb15dc7e068750e823a1034e07c3e8a87522f6efc803891b

Aliases

arxiv: 1012.4270 · arxiv_version: 1012.4270v2 · doi: 10.48550/arxiv.1012.4270 · pith_short_12: 5AQ2BYISPK2G · pith_short_16: 5AQ2BYISPK2G5SYV · pith_short_8: 5AQ2BYIS

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/5AQ2BYISPK2G5SYV3R7ANB2Q5A \
  | 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: e821a0e1127ab46ecb15dc7e068750e823a1034e07c3e8a87522f6efc803891b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f08e17b31b07407dcd964076b41a74932881d087d1f38096f32bcffc9c62cf29",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-20T09:47:32Z",
    "title_canon_sha256": "e2c56ef9460e58c6dfbebefa0a7819ca539c4523155ee6a286e58fb7c8ffb10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4270",
    "kind": "arxiv",
    "version": 2
  }
}