Pith Number

pith:VCK5JKTN

pith:1996:VCK5JKTN3YVYCMZ7HZNQBN26HP

not attested not anchored not stored refs pending

Positive definite distributions and subspaces of $L_{-p}$ with applications to stable processes

Alexander Koldobsky

arxiv:math/9610208 v1 · 1996-10-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCK5JKTN3YVYCMZ7HZNQBN26HP}

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	2026-05-18T01:05:47.009037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a895d4aa6dde2b81333f3e5b00b75e3bf9b2d80478f9a8d2f67a13303ae7ddde

Aliases

arxiv: math/9610208 · arxiv_version: math/9610208v1 · doi: 10.48550/arxiv.math/9610208 · pith_short_12: VCK5JKTN3YVY · pith_short_16: VCK5JKTN3YVYCMZ7 · pith_short_8: VCK5JKTN

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/VCK5JKTN3YVYCMZ7HZNQBN26HP \
  | 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: a895d4aa6dde2b81333f3e5b00b75e3bf9b2d80478f9a8d2f67a13303ae7ddde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32022c952f92de2332510765fa2ce48c1e6806349d5346feb7e7ec9deeb06cf8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1996-10-01T00:00:00Z",
    "title_canon_sha256": "1081b18be28478c7d36db8d21ef0639da7d053b47c2958d4e77bce4f3b190fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9610208",
    "kind": "arxiv",
    "version": 1
  }
}