Pith Number

pith:A2G7XHCL

pith:2012:A2G7XHCL4NTQ5X3AHOJO7HU7JW

not attested not anchored not stored refs pending

Electron vortex beams in a magnetic field: A new twist on Landau levels and Aharonov-Bohm states

Franco Nori, Jo Verbeeck, Konstantin Y. Bliokh, Peter Schattschneider

arxiv:1204.2780 v3 · 2012-04-12 · quant-ph · cond-mat.str-el · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2G7XHCL4NTQ5X3AHOJO7HU7JW}

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	2026-05-18T03:39:51.670276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

068dfb9c4be3670edf603b92ef9e9f4da9617c2ff4341a0a8ce16c3ff688fb8e

Aliases

arxiv: 1204.2780 · arxiv_version: 1204.2780v3 · doi: 10.48550/arxiv.1204.2780 · pith_short_12: A2G7XHCL4NTQ · pith_short_16: A2G7XHCL4NTQ5X3A · pith_short_8: A2G7XHCL

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/A2G7XHCL4NTQ5X3AHOJO7HU7JW \
  | 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: 068dfb9c4be3670edf603b92ef9e9f4da9617c2ff4341a0a8ce16c3ff688fb8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbcab2ea05507785119cc44beb8cc9d231972b69db3f67d921ec2669cb471d84",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-12T17:37:49Z",
    "title_canon_sha256": "b2c5628d79b76c97e9098252904193696512a11df2687caa8c0053cf8ebe15ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2780",
    "kind": "arxiv",
    "version": 3
  }
}