Pith Number

pith:XFFZCT23

pith:2011:XFFZCT23AY4Z3BPPG7WXZBE7MK

not attested not anchored not stored refs pending

On univalence of the power deformation $z(f(z)/z)^c$

Toshiyuki Sugawa, Yong Chan Kim

arxiv:1112.6237 v1 · 2011-12-29 · 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{XFFZCT23AY4Z3BPPG7WXZBE7MK}

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	2026-05-18T04:05:36.433779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94b914f5b06399d85ef37ed7c849f6292e4caeb4506ca256e9528110685f9b4

Aliases

arxiv: 1112.6237 · arxiv_version: 1112.6237v1 · doi: 10.48550/arxiv.1112.6237 · pith_short_12: XFFZCT23AY4Z · pith_short_16: XFFZCT23AY4Z3BPP · pith_short_8: XFFZCT23

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/XFFZCT23AY4Z3BPPG7WXZBE7MK \
  | 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: b94b914f5b06399d85ef37ed7c849f6292e4caeb4506ca256e9528110685f9b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0152f067eea8f558ce3fe7cc0e8f357b81d92dd30f581b1036f82f147a7f8fa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-12-29T06:51:30Z",
    "title_canon_sha256": "55225929ca7484e1823d90ab34874fb6663d0a37f329e1bf820d3ff65ec3863c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6237",
    "kind": "arxiv",
    "version": 1
  }
}