Pith Number

pith:CSJTZWUJ

pith:2010:CSJTZWUJRO2NIEGRPT4SNAANA3

not attested not anchored not stored refs pending

Hopf differentials and smoothing Sobolev homeomorphisms

Jani Onninen, Leonid V. Kovalev, Tadeusz Iwaniec

arxiv:1006.5174 v1 · 2010-06-27 · 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{CSJTZWUJRO2NIEGRPT4SNAANA3}

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	2026-05-18T03:51:14.551967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14933cda898bb4d410d17cf926800d06d08a6cc7d37c1fd85a32873f34079052

Aliases

arxiv: 1006.5174 · arxiv_version: 1006.5174v1 · doi: 10.48550/arxiv.1006.5174 · pith_short_12: CSJTZWUJRO2N · pith_short_16: CSJTZWUJRO2NIEGR · pith_short_8: CSJTZWUJ

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/CSJTZWUJRO2NIEGRPT4SNAANA3 \
  | 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: 14933cda898bb4d410d17cf926800d06d08a6cc7d37c1fd85a32873f34079052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "382d9ab27fc14f29d858f3a3ac78e356a42aa4f837abba3306b1e1e37f6e5d57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-06-27T00:34:14Z",
    "title_canon_sha256": "5318c823aa7e3631af17dbd6bc1b4182cce7b9fb90b2d511fa85c924a806cb78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5174",
    "kind": "arxiv",
    "version": 1
  }
}