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Pith Number

pith:2GHWELZF

pith:2016:2GHWELZFSSIFII5CVFRXHLWL4B
not attested not anchored not stored refs pending

Small perturbations leading to large asymmetries in the probability density of the ground state

G. Fern\'andez-Anaya, R. Mu\~noz-Vega

arxiv:1606.03619 v1 · 2016-06-11 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2GHWELZFSSIFII5CVFRXHLWL4B}

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 2026-05-18T01:12:33.511648Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d18f622f2594905423a2a96373aecbe04af7b8270b20b9269e26e764e4e3be43

Aliases

arxiv: 1606.03619 · arxiv_version: 1606.03619v1 · doi: 10.48550/arxiv.1606.03619 · pith_short_12: 2GHWELZFSSIF · pith_short_16: 2GHWELZFSSIFII5C · pith_short_8: 2GHWELZF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2GHWELZFSSIFII5CVFRXHLWL4B \
  | 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: d18f622f2594905423a2a96373aecbe04af7b8270b20b9269e26e764e4e3be43
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "694ff346bb929bc3984691e565933c3da9b9413f500d11fe08295466397b4330",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-11T19:39:42Z",
    "title_canon_sha256": "9129c5b926e8facd34a3bb339f87f40d5efc09b746047699c681e863d42ddac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03619",
    "kind": "arxiv",
    "version": 1
  }
}