Pith Number

pith:R3UAP7KU

pith:2012:R3UAP7KU6K36KBECTYWQIHY4SS

not attested not anchored not stored refs pending

Radius problems associated with pre-Schwarzian and Schwarzian derivatives

S. K. Sahoo, S. Ponnusamy, T. Sugawa

arxiv:1203.3918 v1 · 2012-03-18 · 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{R3UAP7KU6K36KBECTYWQIHY4SS}

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	2026-05-18T03:59:48.665491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee807fd54f2b7e504829e2d041f1c949c4f4f38532652f1f2dbee030270d18a

Aliases

arxiv: 1203.3918 · arxiv_version: 1203.3918v1 · doi: 10.48550/arxiv.1203.3918 · pith_short_12: R3UAP7KU6K36 · pith_short_16: R3UAP7KU6K36KBEC · pith_short_8: R3UAP7KU

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/R3UAP7KU6K36KBECTYWQIHY4SS \
  | 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: 8ee807fd54f2b7e504829e2d041f1c949c4f4f38532652f1f2dbee030270d18a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f99f254ea16eccb5f4f68b152d045d21607bd5e0d5000c7d2247306aacba23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-18T05:36:36Z",
    "title_canon_sha256": "5cc54f77ced988c879459aa20088902ba929e3b79c60ac1bb468684a5aaf2496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3918",
    "kind": "arxiv",
    "version": 1
  }
}