Pith Number

pith:4PTRHEUS

pith:2009:4PTRHEUSYMSLPBSWSLFD6JZ6PC

not attested not anchored not stored refs pending

A renormalization fixed point for Lorenz maps

Bj\"orn Winckler

arxiv:0908.0723 v2 · 2009-08-05 · 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{4PTRHEUSYMSLPBSWSLFD6JZ6PC}

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	2026-05-18T02:30:33.009580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e7139292c324b7865692ca3f273e7896df015767ab84ed188bba8d33fbde5a

Aliases

arxiv: 0908.0723 · arxiv_version: 0908.0723v2 · doi: 10.48550/arxiv.0908.0723 · pith_short_12: 4PTRHEUSYMSL · pith_short_16: 4PTRHEUSYMSLPBSW · pith_short_8: 4PTRHEUS

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/4PTRHEUSYMSLPBSWSLFD6JZ6PC \
  | 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: e3e7139292c324b7865692ca3f273e7896df015767ab84ed188bba8d33fbde5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d361b307fb92b82bb543886019a21748c46ca7dd36f4ec98e4de486478a4651d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-08-05T18:41:46Z",
    "title_canon_sha256": "ebcd7538707168ae8369c1d0ab2a1a3e76c093a4f365800d576c8c4a6afbab22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.0723",
    "kind": "arxiv",
    "version": 2
  }
}