Pith Number

pith:6U2VYV75

pith:2016:6U2VYV756O6YVJ2H5QZW4CNXKU

not attested not anchored not stored refs pending

Instability of Renormalization

Bj\"orn Winckler, Marco Martens

arxiv:1609.04473 v3 · 2016-09-14 · 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{6U2VYV756O6YVJ2H5QZW4CNXKU}

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.

Cited by

1 paper in Pith

A Phase Transition for Circle Maps with a Flat Spot and Different Critical Exponents

Receipt and verification

First computed	2026-05-18T00:44:42.424851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5355c57fdf3bd8aa747ec336e09b755028d0688ccc0da40a2640101523d5a44

Aliases

arxiv: 1609.04473 · arxiv_version: 1609.04473v3 · doi: 10.48550/arxiv.1609.04473 · pith_short_12: 6U2VYV756O6Y · pith_short_16: 6U2VYV756O6YVJ2H · pith_short_8: 6U2VYV75

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/6U2VYV756O6YVJ2H5QZW4CNXKU \
  | 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: f5355c57fdf3bd8aa747ec336e09b755028d0688ccc0da40a2640101523d5a44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecce892a05e0e8dac3e57645c35de8d3b8ac77161f727e92b05c10015f2bf9f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-09-14T23:03:12Z",
    "title_canon_sha256": "5637f73e92b38d31ef8e0b7e9aa4afa170db1a439960987870393595a53e769c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04473",
    "kind": "arxiv",
    "version": 3
  }
}