Pith Number

pith:VPMCEWLQ

pith:2012:VPMCEWLQ63W3UHWXBT62AW6SUA

not attested not anchored not stored refs pending

Boundary values of resolvents of self-adjoint operators in Krein spaces

Christian G\'erard (LM-Orsay), Dietrich H\"afner (IF), Vladimir Georgescu (AGM)

arxiv:1211.0791 v4 · 2012-11-05 · math-ph · 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{VPMCEWLQ63W3UHWXBT62AW6SUA}

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	2026-05-18T03:17:11.838048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd8225970f6edba1ed70cfda05bd2a002f14421186295d95388476cd30abf6a

Aliases

arxiv: 1211.0791 · arxiv_version: 1211.0791v4 · doi: 10.48550/arxiv.1211.0791 · pith_short_12: VPMCEWLQ63W3 · pith_short_16: VPMCEWLQ63W3UHWX · pith_short_8: VPMCEWLQ

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/VPMCEWLQ63W3UHWXBT62AW6SUA \
  | 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: abd8225970f6edba1ed70cfda05bd2a002f14421186295d95388476cd30abf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f8762685b8c271083aa90c97b5b2ee1a6f17fb849eaa0bbb02a75b6bf16645",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-05T08:50:34Z",
    "title_canon_sha256": "96f8b039440a6a80ff3acde9b53bdf0dc2502864eb411baed4a49314bdd3b038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0791",
    "kind": "arxiv",
    "version": 4
  }
}