Pith Number

pith:DH3BHXF7

pith:2012:DH3BHXF7NVZU3XFDMAFGL4QS63

not attested not anchored not stored refs pending

A note on Schwarzian derivatives and normal families

Dinesh Kumar, Sanjay Kumar

arxiv:1210.7920 v3 · 2012-10-30 · math.DS · 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{DH3BHXF7NVZU3XFDMAFGL4QS63}

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	2026-05-18T03:32:16.906861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f613dcbf6d734ddca3600a65f212f6dfd4ed1415d6421d9d0e8995b2c5bb33

Aliases

arxiv: 1210.7920 · arxiv_version: 1210.7920v3 · doi: 10.48550/arxiv.1210.7920 · pith_short_12: DH3BHXF7NVZU · pith_short_16: DH3BHXF7NVZU3XFD · pith_short_8: DH3BHXF7

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/DH3BHXF7NVZU3XFDMAFGL4QS63 \
  | 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: 19f613dcbf6d734ddca3600a65f212f6dfd4ed1415d6421d9d0e8995b2c5bb33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36e04cd410dcea35b0dbdeaccfbf4e8267cafe5a062db6bfdca528a15b7a3fc1",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-30T07:57:03Z",
    "title_canon_sha256": "bdd8389db7b3603325588297e86ba832c7539d847e7f5f26a1ace3110b80ce22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7920",
    "kind": "arxiv",
    "version": 3
  }
}