Pith Number

pith:WKIWJTEY

pith:2019:WKIWJTEYF6RQIOXOXC3JRMOABK

not attested not anchored not stored refs pending

Univalent Polynomials and Hubbard Trees

Kirill Lazebnik, Nikolai G. Makarov, Sabyasachi Mukherjee

arxiv:1908.05813 v2 · 2019-08-16 · 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{WKIWJTEYF6RQIOXOXC3JRMOABK}

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	2026-07-05T02:48:16.208179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b29164cc982fa3043aeeb8b698b1c00aa9a99ac737144200612d8f3e8aadb3e5

Aliases

arxiv: 1908.05813 · arxiv_version: 1908.05813v2 · doi: 10.48550/arxiv.1908.05813 · pith_short_12: WKIWJTEYF6RQ · pith_short_16: WKIWJTEYF6RQIOXO · pith_short_8: WKIWJTEY

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/WKIWJTEYF6RQIOXOXC3JRMOABK \
  | 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: b29164cc982fa3043aeeb8b698b1c00aa9a99ac737144200612d8f3e8aadb3e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee343e91ef809cbb6df4dc765fe85bc925ea36f6b6735626c249c977973fd45e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-08-16T02:04:01Z",
    "title_canon_sha256": "c2b617dbe76f3c65f9d368d58c9e1f0c04839297ba8a4d414da9069a6922e523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05813",
    "kind": "arxiv",
    "version": 2
  }
}