Pith Number

pith:BK72N4D4

pith:2012:BK72N4D4YMK35QSHQV37ZGS7ZF

not attested not anchored not stored refs pending

Sharp constructions of eigenfunctions of the magnetic Schr\"odinger operator

Blair Davey

arxiv:1212.4085 v2 · 2012-12-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BK72N4D4YMK35QSHQV37ZGS7ZF}

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	2026-05-18T02:54:30.883059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0abfa6f07cc315bec2478577fc9a5fc971912352043cc15837335fb37e8c9866

Aliases

arxiv: 1212.4085 · arxiv_version: 1212.4085v2 · doi: 10.48550/arxiv.1212.4085 · pith_short_12: BK72N4D4YMK3 · pith_short_16: BK72N4D4YMK35QSH · pith_short_8: BK72N4D4

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/BK72N4D4YMK35QSHQV37ZGS7ZF \
  | 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: 0abfa6f07cc315bec2478577fc9a5fc971912352043cc15837335fb37e8c9866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343ba401d2bfe997a44355f287338b98172351f218144ef7be942c05651060a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-17T17:59:03Z",
    "title_canon_sha256": "3faa1a085fa44c2025f8e83d6817936010a43e472db41a28bba9eb16519d2886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4085",
    "kind": "arxiv",
    "version": 2
  }
}