pith. sign in
Pith Number

pith:OYQYBIG7

pith:2014:OYQYBIG7BVBC6P627FC4JKJLJK
not attested not anchored not stored refs pending

Magnetic Schr\"odinger operators and Ma\~n\'e's critical value

Peter Herbrich

arxiv:1410.8210 v1 · 2014-10-30 · math.SP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OYQYBIG7BVBC6P627FC4JKJLJK}

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 2026-05-18T02:39:00.382983Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

762180a0df0d422f3fdaf945c4a92b4aa248a4380755e5e463a92b56e4893e7e

Aliases

arxiv: 1410.8210 · arxiv_version: 1410.8210v1 · doi: 10.48550/arxiv.1410.8210 · pith_short_12: OYQYBIG7BVBC · pith_short_16: OYQYBIG7BVBC6P62 · pith_short_8: OYQYBIG7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OYQYBIG7BVBC6P627FC4JKJLJK \
  | 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: 762180a0df0d422f3fdaf945c4a92b4aa248a4380755e5e463a92b56e4893e7e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dacc5dd2c145598a0afea7ab9975175a9e61e191e95c735badf3392a741cd324",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-10-30T00:28:42Z",
    "title_canon_sha256": "7e9cf593d181473aa825ddcc7af7c0868c3deaffffeb3af623c2fc98ce86f3e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8210",
    "kind": "arxiv",
    "version": 1
  }
}