Pith Number

pith:E3VMMORY

pith:2010:E3VMMORY75YDUCIAZLDQTU4EUN

not attested not anchored not stored refs pending

Extension Theory and Krein-type Resolvent Formulas for Nonsmooth Boundary Value Problems

Gerd Grubb, Helmut Abels, Ian Geoffrey Wood

arxiv:1008.3281 v2 · 2010-08-19 · math.AP · math.FA · 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{E3VMMORY75YDUCIAZLDQTU4EUN}

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	2026-05-18T03:03:10.559074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26eac63a38ff703a0900cac709d384a36a5a47534858cba591b830d1f93b7cbd

Aliases

arxiv: 1008.3281 · arxiv_version: 1008.3281v2 · doi: 10.48550/arxiv.1008.3281 · pith_short_12: E3VMMORY75YD · pith_short_16: E3VMMORY75YDUCIA · pith_short_8: E3VMMORY

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/E3VMMORY75YDUCIAZLDQTU4EUN \
  | 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: 26eac63a38ff703a0900cac709d384a36a5a47534858cba591b830d1f93b7cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845169718564994fbca7b17edce40bb5ff1d5c0e7d4fe9f8db292d3e42f7c52b",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-19T12:02:57Z",
    "title_canon_sha256": "aeaf0600a110269fe69b5ed389537d2ea8b7f97d034b27936ef440dec42a769a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3281",
    "kind": "arxiv",
    "version": 2
  }
}