Pith Number

pith:OGMGO4I3

pith:2007:OGMGO4I3NURBLMFGLR765Z77AH

not attested not anchored not stored refs pending

Singularities of Schr\"oder maps and unhyperbolicity of rational functions

David Drasin, Y\^usuke Okuyama

arxiv:0704.3309 v3 · 2007-04-25 · 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{OGMGO4I3NURBLMFGLR765Z77AH}

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	2026-05-18T02:04:00.805059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

719867711b6d2215b0a65c7feee7ff01e41eb6d00fe116609196ac211680df0c

Aliases

arxiv: 0704.3309 · arxiv_version: 0704.3309v3 · doi: 10.48550/arxiv.0704.3309 · pith_short_12: OGMGO4I3NURB · pith_short_16: OGMGO4I3NURBLMFG · pith_short_8: OGMGO4I3

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/OGMGO4I3NURBLMFGLR765Z77AH \
  | 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: 719867711b6d2215b0a65c7feee7ff01e41eb6d00fe116609196ac211680df0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59b096c6300d349c88a1cafdfd873f887a1976b790af9278f1fd5034d0e6865",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2007-04-25T13:07:01Z",
    "title_canon_sha256": "2761dc0746f5ba2c9104f3a64dab78438501bced3c7c8605702b7321aab6ddd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3309",
    "kind": "arxiv",
    "version": 3
  }
}