Pith Number

pith:54WEAWKG

pith:2011:54WEAWKGJNPIVKLLMSTY3KV365

not attested not anchored not stored refs pending

Existence of a Lorenz renormalization fixed point of an arbitrary critical order

Bjorn Winckler, Denis Gaidashev

arxiv:1107.4507 v3 · 2011-07-22 · 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{54WEAWKGJNPIVKLLMSTY3KV365}

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	2026-05-18T03:56:08.573419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2c4059464b5e8aa96b64a78daabbf75890cb1008cbdd40b0f18ad21423dfc7

Aliases

arxiv: 1107.4507 · arxiv_version: 1107.4507v3 · doi: 10.48550/arxiv.1107.4507 · pith_short_12: 54WEAWKGJNPI · pith_short_16: 54WEAWKGJNPIVKLL · pith_short_8: 54WEAWKG

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/54WEAWKGJNPIVKLLMSTY3KV365 \
  | 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: ef2c4059464b5e8aa96b64a78daabbf75890cb1008cbdd40b0f18ad21423dfc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c6dcad669b06fb2ed6631995405c9549ae4463f656e61d9507b430e6d67706",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-07-22T12:56:48Z",
    "title_canon_sha256": "323f9954b6f16852b292bde4beadbbd80eea1b765dcc422e49767819815f38fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4507",
    "kind": "arxiv",
    "version": 3
  }
}