Pith Number

pith:ED2S5UK4

pith:2013:ED2S5UK4Q7LQGM6ZSW4PPRLZDK

not attested not anchored not stored refs pending

The Schwarzian derivative and the Wiman-Valiron property

J.K. Langley

arxiv:1307.3042 v2 · 2013-07-11 · 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{ED2S5UK4Q7LQGM6ZSW4PPRLZDK}

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	2026-05-18T03:17:02.642645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20f52ed15c87d70333d995b8f7c5791a87aa41bf9868d9cd42c4ed5192856014

Aliases

arxiv: 1307.3042 · arxiv_version: 1307.3042v2 · doi: 10.48550/arxiv.1307.3042 · pith_short_12: ED2S5UK4Q7LQ · pith_short_16: ED2S5UK4Q7LQGM6Z · pith_short_8: ED2S5UK4

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/ED2S5UK4Q7LQGM6ZSW4PPRLZDK \
  | 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: 20f52ed15c87d70333d995b8f7c5791a87aa41bf9868d9cd42c4ed5192856014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb5fc7de3215de57a1d8e5656353454b52003c8ca9e42c06d9d0bd25d6fc65a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-07-11T10:04:33Z",
    "title_canon_sha256": "77ff036e984df73c3f1604374dce0ab837f6172eb54d28a391d87bd73b9bff86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3042",
    "kind": "arxiv",
    "version": 2
  }
}