Pith Number

pith:LU5TBW6T

pith:2003:LU5TBW6TIXI2NPSDKVLOTDWUJG

not attested not anchored not stored refs pending

A generalization of Levinger's theorem to positive kernel operators

Roman Drnov\v{s}ek

arxiv:math/0304253 v1 · 2003-04-18 · 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{LU5TBW6TIXI2NPSDKVLOTDWUJG}

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	2026-05-18T03:41:31.098284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3b30dbd345d1a6be435556e98ed449ad51c0f049a618c800f392359a964920

Aliases

arxiv: math/0304253 · arxiv_version: math/0304253v1 · doi: 10.48550/arxiv.math/0304253 · pith_short_12: LU5TBW6TIXI2 · pith_short_16: LU5TBW6TIXI2NPSD · pith_short_8: LU5TBW6T

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/LU5TBW6TIXI2NPSDKVLOTDWUJG \
  | 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: 5d3b30dbd345d1a6be435556e98ed449ad51c0f049a618c800f392359a964920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8955a089cb37c74785cbb73653b8aa579219f570d3e1493c03537343452003c2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2003-04-18T13:00:22Z",
    "title_canon_sha256": "fe76fda7d70c64112091755770cbf9c8bfea8b48997d102647e0a600571e8590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304253",
    "kind": "arxiv",
    "version": 1
  }
}