Pith Number

pith:PMMN4MAP

pith:2016:PMMN4MAPIK6WDV5PEOUJRBZTWS

not attested not anchored not stored refs pending

A Cauchy kernel for the Hermitian submonogenic system

Dixan Pe\~na Pe\~na, Fabrizio Colombo, Frank Sommen

arxiv:1601.05942 v1 · 2016-01-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMMN4MAPIK6WDV5PEOUJRBZTWS}

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	2026-05-18T01:22:09.708788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b18de300f42bd61d7af23a8988733b4b3848fbc9b8244cebfcd2e6f52e4cb83

Aliases

arxiv: 1601.05942 · arxiv_version: 1601.05942v1 · doi: 10.48550/arxiv.1601.05942 · pith_short_12: PMMN4MAPIK6W · pith_short_16: PMMN4MAPIK6WDV5P · pith_short_8: PMMN4MAP

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/PMMN4MAPIK6WDV5PEOUJRBZTWS \
  | 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: 7b18de300f42bd61d7af23a8988733b4b3848fbc9b8244cebfcd2e6f52e4cb83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67601dcd04001365ff5e3eb0c271d91959cab5e662aaa54c673717f82c51cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-22T10:21:23Z",
    "title_canon_sha256": "0ee27a08a66a03351b67ed6bcfc518722e879e7d976985de05b5e2a2f861426c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05942",
    "kind": "arxiv",
    "version": 1
  }
}