Pith Number

pith:MG7XVK4E

pith:2011:MG7XVK4EH5T6FJURR6COVTQSQJ

not attested not anchored not stored refs pending

A Sears-type self-adjointness result for discrete magnetic Schr\"odinger operators

Ognjen Milatovic

arxiv:1105.3129 v3 · 2011-05-16 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MG7XVK4EH5T6FJURR6COVTQSQJ}

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	2026-05-18T03:50:59.208657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61bf7aab843f67e2a6918f84eace12824450f39e63fd8a8d2a2d04940a30eaa8

Aliases

arxiv: 1105.3129 · arxiv_version: 1105.3129v3 · doi: 10.48550/arxiv.1105.3129 · pith_short_12: MG7XVK4EH5T6 · pith_short_16: MG7XVK4EH5T6FJUR · pith_short_8: MG7XVK4E

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/MG7XVK4EH5T6FJURR6COVTQSQJ \
  | 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: 61bf7aab843f67e2a6918f84eace12824450f39e63fd8a8d2a2d04940a30eaa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1fa6e3b7feffb912dbe31de11b3bfc18836b5c28225265fe1c5bdb3c3b7311d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-05-16T15:51:35Z",
    "title_canon_sha256": "6bbafbbae80bab6d10e9230173e1401b970d7022280b70643a994a75069fa9c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3129",
    "kind": "arxiv",
    "version": 3
  }
}