Pith Number

pith:UTJDL7XF

pith:2015:UTJDL7XFWB55EWQNPNMN2M36XD

not attested not anchored not stored refs pending

Satellite renormalization of quadratic polynomials

Davoud Cheraghi, Mitsuhiro Shishikura

arxiv:1509.07843 v1 · 2015-09-25 · math.DS · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTJDL7XFWB55EWQNPNMN2M36XD}

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	2026-05-18T01:32:01.833094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d235fee5b07bd25a0d7b58dd337eb8d19dff1aac1e6e7ea32a6bccec74e497

Aliases

arxiv: 1509.07843 · arxiv_version: 1509.07843v1 · doi: 10.48550/arxiv.1509.07843 · pith_short_12: UTJDL7XFWB55 · pith_short_16: UTJDL7XFWB55EWQN · pith_short_8: UTJDL7XF

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/UTJDL7XFWB55EWQNPNMN2M36XD \
  | 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: a4d235fee5b07bd25a0d7b58dd337eb8d19dff1aac1e6e7ea32a6bccec74e497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec8bbe154f5f4ba47cea6e6f6ae4cdbe8972797cf2b948b2af7945bb49ac6ba",
    "cross_cats_sorted": [
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-09-25T19:25:52Z",
    "title_canon_sha256": "f715f015eb41385336ea756914c33cca65c3802b3760b7a441306415e832124e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07843",
    "kind": "arxiv",
    "version": 1
  }
}