Pith Number

pith:KMGOKXZF

pith:2013:KMGOKXZF4J3LZ5MBCZECMVTCMP

not attested not anchored not stored refs pending

Linear spectral transformations of Carath\'eodory functions

L. Moral, L. Vel\'azquez, M.J. Cantero

arxiv:1302.2007 v2 · 2013-02-08 · 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{KMGOKXZF4J3LZ5MBCZECMVTCMP}

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	2026-05-18T03:34:02.161777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530ce55f25e276bcf581164826566263c2d879f016a9c3b628cf53230f8713ff

Aliases

arxiv: 1302.2007 · arxiv_version: 1302.2007v2 · doi: 10.48550/arxiv.1302.2007 · pith_short_12: KMGOKXZF4J3L · pith_short_16: KMGOKXZF4J3LZ5MB · pith_short_8: KMGOKXZF

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/KMGOKXZF4J3LZ5MBCZECMVTCMP \
  | 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: 530ce55f25e276bcf581164826566263c2d879f016a9c3b628cf53230f8713ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9cdc1d84e111ab1f2e83c23550d8d5b3e8aeead3fea24a185eab9453b420410",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-08T12:07:41Z",
    "title_canon_sha256": "dfc3b9350138bb5b8f522146cae746fd96e753b484de00cc2724ed16d76a5974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2007",
    "kind": "arxiv",
    "version": 2
  }
}