Pith Number

pith:QPQP4BCH

pith:2015:QPQP4BCHM4ASJD4VRSRA4SFZJC

not attested not anchored not stored refs pending

On a generalization of the Cartwright-Littlewood fixed point theorem for planar homeomorphisms

Jan P. Boro\'nski

arxiv:1510.06663 v1 · 2015-10-22 · 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{QPQP4BCHM4ASJD4VRSRA4SFZJC}

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	2026-05-18T01:29:30.325626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e0fe04476701248f958ca20e48b94889141e1ef02df790d324dd23d65c1c05

Aliases

arxiv: 1510.06663 · arxiv_version: 1510.06663v1 · doi: 10.48550/arxiv.1510.06663 · pith_short_12: QPQP4BCHM4AS · pith_short_16: QPQP4BCHM4ASJD4V · pith_short_8: QPQP4BCH

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/QPQP4BCHM4ASJD4VRSRA4SFZJC \
  | 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: 83e0fe04476701248f958ca20e48b94889141e1ef02df790d324dd23d65c1c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ab9d475fe3914141f0a545f1c0286060679e16b38dea930ab632da22620a01e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-22T15:54:11Z",
    "title_canon_sha256": "0bc0f20d129bf80d12efd322b2eb88c63794780e5cc01f6d0d2b8a139442dc16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06663",
    "kind": "arxiv",
    "version": 1
  }
}