Pith Number

pith:B773JONX

pith:2013:B773JONXVFABIFRTTONKDMPFJI

not attested not anchored not stored refs pending

The Aharonov-Bohm effect in spectral asymptotics of the magnetic Schr\"odinger operator

Gregory Eskin, James Ralston

arxiv:1301.6217 v2 · 2013-01-26 · math-ph · math.AP · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B773JONXVFABIFRTTONKDMPFJI}

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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	2026-05-18T01:22:25.792483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fffb4b9b7a9401416339b9aa1b1e54a13ba2820ceb47d4e6181c9dacada364e

Aliases

arxiv: 1301.6217 · arxiv_version: 1301.6217v2 · doi: 10.48550/arxiv.1301.6217 · pith_short_12: B773JONXVFAB · pith_short_16: B773JONXVFABIFRT · pith_short_8: B773JONX

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/B773JONXVFABIFRTTONKDMPFJI \
  | 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: 0fffb4b9b7a9401416339b9aa1b1e54a13ba2820ceb47d4e6181c9dacada364e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e36f1feb6026a87f7a37027066954e7701b13feab899e9d55724506389be80",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-26T07:25:32Z",
    "title_canon_sha256": "52de529c96eccc2dc48a6e2046e40b1bd181018f7716712eccc3c32e1c83438e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6217",
    "kind": "arxiv",
    "version": 2
  }
}