Pith Number

pith:Q4III3SJ

pith:2026:Q4III3SJPPB4ETRF7UWAC5EDMK

not attested not anchored not stored refs pending

Existence of the C-type renormalisation two-cycle

Andrew Burbanks, Maria Pickett, Zainab Rahman

arxiv:2606.06274 v1 · 2026-06-04 · math.DS · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4III3SJPPB4ETRF7UWAC5EDMK}

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	2026-06-05T01:15:40.240141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8710846e497bc3c24e25fd2c0174836299720072523ef7dfce3fe9cebc1cb2c1

Aliases

arxiv: 2606.06274 · arxiv_version: 2606.06274v1 · doi: 10.48550/arxiv.2606.06274 · pith_short_12: Q4III3SJPPB4 · pith_short_16: Q4III3SJPPB4ETRF · pith_short_8: Q4III3SJ

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/Q4III3SJPPB4ETRF7UWAC5EDMK \
  | 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: 8710846e497bc3c24e25fd2c0174836299720072523ef7dfce3fe9cebc1cb2c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d054590b06d7c34f1e92b808b576daa1fd282815ad5846b89a0913de4483a4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-04T15:15:46Z",
    "title_canon_sha256": "ee9f030f7905a5fb1fb7c12af3995367ad2d42dde24f2ef0cb3ef827ff220845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06274",
    "kind": "arxiv",
    "version": 1
  }
}