Pith Number

pith:OGMCV7VW

pith:2007:OGMCV7VWHVBNNDD2RHT7IRAPGA

not attested not anchored not stored refs pending

Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory

Julio H. Toloza, Luis O. Silva

arxiv:math/0701756 v2 · 2007-01-25 · math.SP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGMCV7VWHVBNNDD2RHT7IRAPGA}

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	2026-07-04T17:08:33.621080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71982afeb63d42d68c7a89e7f4440f302e70698abce99826ebfa827eb9bfa0eb

Aliases

arxiv: math/0701756 · arxiv_version: math/0701756v2 · doi: 10.48550/arxiv.math/0701756 · pith_short_12: OGMCV7VWHVBN · pith_short_16: OGMCV7VWHVBNNDD2 · pith_short_8: OGMCV7VW

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/OGMCV7VWHVBNNDD2RHT7IRAPGA \
  | 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: 71982afeb63d42d68c7a89e7f4440f302e70698abce99826ebfa827eb9bfa0eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00e48b98a250ee9128809fcc3018d9791769b56e7d6e5d544764205ad4c7a6c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-01-25T20:49:33Z",
    "title_canon_sha256": "65734d22da197f7390ab5745369394d52cbf3bfb673ccaccc3d87cce199e9049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701756",
    "kind": "arxiv",
    "version": 2
  }
}