Pith Number

pith:ZGE4LI5I

pith:2013:ZGE4LI5I7AYYBCDSHQQI6T4IFT

not attested not anchored not stored refs pending

Edge currents and eigenvalue estimates for magnetic barrier Schr\"odinger operators

Eric Soccorsi (CPT), Nicolas Dombrowski, Peter D. Hislop

arxiv:1309.4548 v3 · 2013-09-18 · 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{ZGE4LI5I7AYYBCDSHQQI6T4IFT}

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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	2026-05-18T03:06:54.334440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c989c5a3a8f8318088723c208f4f882cd670cfdfd0c6821fea59260e0078f1c0

Aliases

arxiv: 1309.4548 · arxiv_version: 1309.4548v3 · doi: 10.48550/arxiv.1309.4548 · pith_short_12: ZGE4LI5I7AYY · pith_short_16: ZGE4LI5I7AYYBCDS · pith_short_8: ZGE4LI5I

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/ZGE4LI5I7AYYBCDSHQQI6T4IFT \
  | 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: c989c5a3a8f8318088723c208f4f882cd670cfdfd0c6821fea59260e0078f1c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bde097a018627897c7361d275743b61ef2054f4762c9fa964a46dc1431f9049a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-18T06:47:56Z",
    "title_canon_sha256": "192eb4a699d2045031f0679168e95ef7b22df42af6b2e9744215c690385ccf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4548",
    "kind": "arxiv",
    "version": 3
  }
}