Pith Number

pith:GK7PR54P

pith:2016:GK7PR54P5SQWQD2YSRFYMQZSK5

not attested not anchored not stored refs pending

The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions

Yury A. Neretin

arxiv:1601.02148 v1 · 2016-01-09 · math.CV · math-ph · math.FA · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GK7PR54P5SQWQD2YSRFYMQZSK5}

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	2026-05-18T00:38:36.650375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32bef8f78feca1680f58944b864332574911c8a3fb80e1c5747e288ababf2758

Aliases

arxiv: 1601.02148 · arxiv_version: 1601.02148v1 · doi: 10.48550/arxiv.1601.02148 · pith_short_12: GK7PR54P5SQW · pith_short_16: GK7PR54P5SQWQD2Y · pith_short_8: GK7PR54P

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/GK7PR54P5SQWQD2YSRFYMQZSK5 \
  | 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: 32bef8f78feca1680f58944b864332574911c8a3fb80e1c5747e288ababf2758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "812f835caa8d753efc66e234595d531f1e4c2b13c4547ed4143cc68ac0a0aebf",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-09T19:21:17Z",
    "title_canon_sha256": "304d55e8914a1dda4038482b67617568997f48c0154d1d3a881fcab84417e7f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02148",
    "kind": "arxiv",
    "version": 1
  }
}