Pith Number

pith:HCO5I7WS

pith:2012:HCO5I7WSQ3AI5LFOVUVZXJ7FQH

not attested not anchored not stored refs pending

Angular and unrestricted limits of one-parameter semigroups in the unit disk

Pavel Gumenyuk

arxiv:1211.3965 v2 · 2012-11-16 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCO5I7WSQ3AI5LFOVUVZXJ7FQH}

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	2026-05-18T03:36:06.164553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

389dd47ed286c08eacaead2b9ba7e581ff6aa154515629be23514babe2c84f34

Aliases

arxiv: 1211.3965 · arxiv_version: 1211.3965v2 · doi: 10.48550/arxiv.1211.3965 · pith_short_12: HCO5I7WSQ3AI · pith_short_16: HCO5I7WSQ3AI5LFO · pith_short_8: HCO5I7WS

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/HCO5I7WSQ3AI5LFOVUVZXJ7FQH \
  | 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: 389dd47ed286c08eacaead2b9ba7e581ff6aa154515629be23514babe2c84f34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2323451ddc45749e06f4e48a54815afd9ea7aaf3c127afbcd3603125f80a080",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-11-16T17:41:22Z",
    "title_canon_sha256": "3488f2435c844cd68d3867714eb184444f092e4bbbc6ef2035871f8a186fb5a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3965",
    "kind": "arxiv",
    "version": 2
  }
}