Pith Number

pith:GG3J6HJB

pith:2015:GG3J6HJB54SOHJ7ELE26GWHXDA

not attested not anchored not stored refs pending

Spectral asymptotics for the Dirichlet Laplacian with a Neumann window via a Birman-Schwinger analysis of the Dirichlet-to-Neumann operator

Andr\'e H\"anel, Timo Weidl

arxiv:1511.05529 v1 · 2015-11-17 · 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{GG3J6HJB54SOHJ7ELE26GWHXDA}

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	2026-05-18T01:26:40.014150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b69f1d21ef24e3a7e45935e358f718214eeff6ba297a38b1a30482b892fe7a

Aliases

arxiv: 1511.05529 · arxiv_version: 1511.05529v1 · doi: 10.48550/arxiv.1511.05529 · pith_short_12: GG3J6HJB54SO · pith_short_16: GG3J6HJB54SOHJ7E · pith_short_8: GG3J6HJB

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/GG3J6HJB54SOHJ7ELE26GWHXDA \
  | 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: 31b69f1d21ef24e3a7e45935e358f718214eeff6ba297a38b1a30482b892fe7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a7299bacb11c91a1856fbebbcd61bffc38b1d9d4bc9aec4c46e1abfaa5e063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-17T20:09:59Z",
    "title_canon_sha256": "6904e098bd31098c16a809d0e98c4d04809f00fa3b82f9b8e0c53988ecc9dd80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05529",
    "kind": "arxiv",
    "version": 1
  }
}