Pith Number

pith:DUCZMBDE

pith:2016:DUCZMBDEGDENVUBBYTDWXXMD3Y

not attested not anchored not stored refs pending

Spectral shift functions and Dirichlet-to-Neumann maps

Fritz Gesztesy, Jussi Behrndt, Shu Nakamura

arxiv:1609.08292 v1 · 2016-09-27 · 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{DUCZMBDEGDENVUBBYTDWXXMD3Y}

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	2026-05-18T01:03:46.208175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d0596046430c8dad021c4c76bdd83de27476ef8968fd058f95131eda9a0cbe8

Aliases

arxiv: 1609.08292 · arxiv_version: 1609.08292v1 · doi: 10.48550/arxiv.1609.08292 · pith_short_12: DUCZMBDEGDEN · pith_short_16: DUCZMBDEGDENVUBB · pith_short_8: DUCZMBDE

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/DUCZMBDEGDENVUBBYTDWXXMD3Y \
  | 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: 1d0596046430c8dad021c4c76bdd83de27476ef8968fd058f95131eda9a0cbe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac66e448723b5cad57afd952c7d738de3f1132932a5aaaf40c4e82f9448b63e1",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-27T07:34:45Z",
    "title_canon_sha256": "e00f5a7d3c306f651359163cdf869db1f1a7984fb20fb6a743ae094accf44dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08292",
    "kind": "arxiv",
    "version": 1
  }
}