Pith Number

pith:2W5WYXGM

pith:2012:2W5WYXGMUOP5RKZSROLLEHFOUQ

not attested not anchored not stored refs pending

Dirichlet and Neumann Eigenvalues for Half-Plane Magnetic Hamiltonians

Georgi Raikov, Pablo Miranda, Vincent Bruneau

arxiv:1212.1727 v1 · 2012-12-07 · math.SP · math-ph · math.AP · 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{2W5WYXGMUOP5RKZSROLLEHFOUQ}

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	2026-05-18T03:38:55.277666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5bb6c5ccca39fd8ab328b96b21caea421067252d5dd83cbb73105fd6a8e6271

Aliases

arxiv: 1212.1727 · arxiv_version: 1212.1727v1 · doi: 10.48550/arxiv.1212.1727 · pith_short_12: 2W5WYXGMUOP5 · pith_short_16: 2W5WYXGMUOP5RKZS · pith_short_8: 2W5WYXGM

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/2W5WYXGMUOP5RKZSROLLEHFOUQ \
  | 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: d5bb6c5ccca39fd8ab328b96b21caea421067252d5dd83cbb73105fd6a8e6271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa78d96e975594842019c3b948a01fed73f404d261b071dd46aec6315aa56e8e",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-12-07T21:33:10Z",
    "title_canon_sha256": "1abc773554a49c7de57b1b0a6434735a414f4b55f692fc5669401090fe21a5be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1727",
    "kind": "arxiv",
    "version": 1
  }
}