Pith Number

pith:QRKHR5WW

pith:2010:QRKHR5WWHR4DCYNZII5BV46WHB

not attested not anchored not stored refs pending

Spectral and localization properties of the Dirichlet wave guide with two concentric Neumann discs

Hatem Najar, Oleg Olendski

arxiv:1011.3133 v2 · 2010-11-13 · math-ph · cond-mat.mes-hall · math.AP · 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{QRKHR5WWHR4DCYNZII5BV46WHB}

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	2026-05-18T02:04:47.966463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845478f6d63c783161b9423a1af3d63860c23b6d656c85711c610429d00eb2b8

Aliases

arxiv: 1011.3133 · arxiv_version: 1011.3133v2 · doi: 10.48550/arxiv.1011.3133 · pith_short_12: QRKHR5WWHR4D · pith_short_16: QRKHR5WWHR4DCYNZ · pith_short_8: QRKHR5WW

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/QRKHR5WWHR4DCYNZII5BV46WHB \
  | 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: 845478f6d63c783161b9423a1af3d63860c23b6d656c85711c610429d00eb2b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5755eac4a8008b864f9594ff785a43ef1527dbcf52e3d41f97a7d57c064db0e",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-13T13:26:15Z",
    "title_canon_sha256": "5f84598cd7a720409c58a9a8b82a4eaf9df61a7f231cd5c952c13df2d427837f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3133",
    "kind": "arxiv",
    "version": 2
  }
}