Pith Number

pith:7MNJO5NV

pith:2015:7MNJO5NVM7PZXF3ZOW5QGG5JPL

not attested not anchored not stored refs pending

Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves

Ari Laptev, Leon A. Takhtajan, Lukas Schimmer

arxiv:1510.00045 v2 · 2015-09-30 · math.SP · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MNJO5NVM7PZXF3ZOW5QGG5JPL}

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

2 papers in Pith

Higher-Rank Connections and Deformed Schr\"odinger Operators

Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics

Receipt and verification

First computed	2026-05-18T01:23:08.050388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1a9775b567df9b977975bb031ba97af9f2b8e425c3244279538dc05077862b

Aliases

arxiv: 1510.00045 · arxiv_version: 1510.00045v2 · doi: 10.48550/arxiv.1510.00045 · pith_short_12: 7MNJO5NVM7PZ · pith_short_16: 7MNJO5NVM7PZXF3Z · pith_short_8: 7MNJO5NV

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/7MNJO5NVM7PZXF3ZOW5QGG5JPL \
  | 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: fb1a9775b567df9b977975bb031ba97af9f2b8e425c3244279538dc05077862b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6b70cd60747a4879abebbafc7df89ca36aa4785283f2918ce96b93006aefc9",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-09-30T21:34:50Z",
    "title_canon_sha256": "e282360f5a65fe4a794ef17882e8c76fcbaed14223fe85fff69e0929bf10420b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00045",
    "kind": "arxiv",
    "version": 2
  }
}