Pith Number

pith:VB2D7WBJ

pith:2015:VB2D7WBJIYOFDN2DGN4B4MNRAQ

not attested not anchored not stored refs pending

Spectral asymptotics for the semiclassical Dirichlet to Neumann operator

Andrew Hassell, Victor Ivrii

arxiv:1505.04894 v2 · 2015-05-19 · 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{VB2D7WBJIYOFDN2DGN4B4MNRAQ}

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	2026-05-18T01:41:45.939329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8743fd829461c51b74333781e31b10423eeb77d92c0fa7eb48a043fca224c28

Aliases

arxiv: 1505.04894 · arxiv_version: 1505.04894v2 · doi: 10.48550/arxiv.1505.04894 · pith_short_12: VB2D7WBJIYOF · pith_short_16: VB2D7WBJIYOFDN2D · pith_short_8: VB2D7WBJ

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/VB2D7WBJIYOFDN2DGN4B4MNRAQ \
  | 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: a8743fd829461c51b74333781e31b10423eeb77d92c0fa7eb48a043fca224c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb3e80e0d487c1140d38793c4163e8b89dcd6095b267450d5f8dd7fcef0c1dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-05-19T07:22:29Z",
    "title_canon_sha256": "d8dbedd8adfaf73ed7200a588d975281c7066a2bb9b830d00ce14dffcfa83906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04894",
    "kind": "arxiv",
    "version": 2
  }
}