Pith Number

pith:B5GITG4B

pith:2012:B5GITG4BLM67V6HH4NN6VMOB6W

not attested not anchored not stored refs pending

Self-adjoint extensions of discrete magnetic Schr\"odinger operators

Francoise Truc (IF), Ognjen Milatovic (UNF)

arxiv:1211.0407 v2 · 2012-11-02 · math-ph · math.FA · math.MP · 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{B5GITG4BLM67V6HH4NN6VMOB6W}

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	2026-05-18T03:39:04.741737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f4c899b815b3dfaf8e7e35beab1c1f58dbdcb4581dd9908175220c4b1e3b7a4

Aliases

arxiv: 1211.0407 · arxiv_version: 1211.0407v2 · doi: 10.48550/arxiv.1211.0407 · pith_short_12: B5GITG4BLM67 · pith_short_16: B5GITG4BLM67V6HH · pith_short_8: B5GITG4B

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/B5GITG4BLM67V6HH4NN6VMOB6W \
  | 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: 0f4c899b815b3dfaf8e7e35beab1c1f58dbdcb4581dd9908175220c4b1e3b7a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8431a875b04206d3b851d0140dbce02c75bfb430fbe5ecb8f8e225a612d20ca",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-02T10:20:06Z",
    "title_canon_sha256": "336bdded351136464689537ef068cb56ebca2f82b54d4701c15930dd01b6a011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0407",
    "kind": "arxiv",
    "version": 2
  }
}