Pith Number

pith:F3B3D5XQ

pith:2019:F3B3D5XQNSRYC4AXKV4CPKIJRL

not attested not anchored not stored refs pending

Bounded hyperbolic components of bicritical rational maps

Hongming Nie, Kevin M. Pilgrim

arxiv:1903.08873 v1 · 2019-03-21 · 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{F3B3D5XQNSRYC4AXKV4CPKIJRL}

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	2026-05-17T23:50:43.698786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec3b1f6f06ca3817017557827a9098adad0344f35c821153d28cd594ab3dcc2

Aliases

arxiv: 1903.08873 · arxiv_version: 1903.08873v1 · doi: 10.48550/arxiv.1903.08873 · pith_short_12: F3B3D5XQNSRY · pith_short_16: F3B3D5XQNSRYC4AX · pith_short_8: F3B3D5XQ

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/F3B3D5XQNSRYC4AXKV4CPKIJRL \
  | 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: 2ec3b1f6f06ca3817017557827a9098adad0344f35c821153d28cd594ab3dcc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c857b87536eaf995625f7e22b269c88eca6bba322124b5750339daa0bf2e7c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-21T08:34:42Z",
    "title_canon_sha256": "e95b3e19e2fd41150a3c1d125b6fc96b312539ad327f57f05282ba13ca1fb651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08873",
    "kind": "arxiv",
    "version": 1
  }
}