Pith Number

pith:LULF4PLQ

pith:2023:LULF4PLQPMWS6ZO2BNUR6DR3IV

not attested not anchored not stored refs pending

Linear Fractional Self-Maps of the Unit Ball in $\mathbb{C}^N$

Michael R. Pilla

arxiv:2310.00787 v1 · 2023-10-01 · 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{LULF4PLQPMWS6ZO2BNUR6DR3IV}

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	2026-06-24T01:14:55.037175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d165e3d707b2d2f65da0b691f0e3b45692a8347ebac0215a5a12aa81ca1f038

Aliases

arxiv: 2310.00787 · arxiv_version: 2310.00787v1 · doi: 10.48550/arxiv.2310.00787 · pith_short_12: LULF4PLQPMWS · pith_short_16: LULF4PLQPMWS6ZO2 · pith_short_8: LULF4PLQ

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/LULF4PLQPMWS6ZO2BNUR6DR3IV \
  | 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: 5d165e3d707b2d2f65da0b691f0e3b45692a8347ebac0215a5a12aa81ca1f038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41be228574b6f299ac3e79a98221ff999f2097324dea47424482b7fcdc3d368f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2023-10-01T20:55:09Z",
    "title_canon_sha256": "eb93866004f8a8e3a0098635045a629830df2c356a1be4397bee8e4fdf4cc33f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.00787",
    "kind": "arxiv",
    "version": 1
  }
}