Pith Number

pith:2PKICL63

pith:2016:2PKICL63252CVBJ3EI7JFC4WY6

not attested not anchored not stored refs pending

Universality of Composition Operators and Applications to Holomorphic Dynamics

Andreas Jung

arxiv:1603.01091 v1 · 2016-03-03 · 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{2PKICL63252CVBJ3EI7JFC4WY6}

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	2026-05-18T01:19:39.706878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d4812fdbd7742a853b223e928b96c78d3429ea605707c7954969cfd8a141a5

Aliases

arxiv: 1603.01091 · arxiv_version: 1603.01091v1 · doi: 10.48550/arxiv.1603.01091 · pith_short_12: 2PKICL63252C · pith_short_16: 2PKICL63252CVBJ3 · pith_short_8: 2PKICL63

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/2PKICL63252CVBJ3EI7JFC4WY6 \
  | 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: d3d4812fdbd7742a853b223e928b96c78d3429ea605707c7954969cfd8a141a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2fbd5325fb891d351b89eb13b633376c611645fc7e41737e9cbd98654638cfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-03-03T13:23:35Z",
    "title_canon_sha256": "89400cb66d1bd7f1a50c98b0301953777372bf515eba83d301fa005280b9e408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01091",
    "kind": "arxiv",
    "version": 1
  }
}