Pith Number

pith:WMGLKM5A

pith:2014:WMGLKM5A3BEKQAKTYR5WMWWXDK

not attested not anchored not stored refs pending

Representation theorems and variational principles for self-adjoint operator matrices

A.A.Vladimirov

arxiv:1403.2253 v1 · 2014-03-10 · 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{WMGLKM5A3BEKQAKTYR5WMWWXDK}

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	2026-05-18T02:56:45.274298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30cb533a0d848a80153c47b665ad71ab1e7892cbdcdc8b99d90f4df32c5904e

Aliases

arxiv: 1403.2253 · arxiv_version: 1403.2253v1 · doi: 10.48550/arxiv.1403.2253 · pith_short_12: WMGLKM5A3BEK · pith_short_16: WMGLKM5A3BEKQAKT · pith_short_8: WMGLKM5A

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/WMGLKM5A3BEKQAKTYR5WMWWXDK \
  | 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: b30cb533a0d848a80153c47b665ad71ab1e7892cbdcdc8b99d90f4df32c5904e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68cd2af4ba2b4cf85b2829f40260566dcc7c0d01d81462b0198b2be50ef402f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-03-10T14:52:48Z",
    "title_canon_sha256": "de4c123c525843038563763f035fca787275c2fbf4c6ccee0e3197c15a693dbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2253",
    "kind": "arxiv",
    "version": 1
  }
}