pith. sign in
Pith Number

pith:KNC3XDUM

pith:2026:KNC3XDUM4HCTTMXR3DRIA3GHIS
not attested not anchored not stored refs pending

Strange bifurcation diagrams

Fryderyk Falniowski, Georgios Piliouras, Jakub Bielawski, Micha{\l} Misiurewicz, Thiparat Chotibut

arxiv:2605.19756 v1 · 2026-05-19 · math.DS · cs.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KNC3XDUM4HCTTMXR3DRIA3GHIS}

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 2026-05-20T01:06:12.291915Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5345bb8e8ce1c539b2f1d8e2806cc744ae3d9e7d952e18fd0ed5ac9e94f4ef77

Aliases

arxiv: 2605.19756 · arxiv_version: 2605.19756v1 · doi: 10.48550/arxiv.2605.19756 · pith_short_12: KNC3XDUM4HCT · pith_short_16: KNC3XDUM4HCTTMXR · pith_short_8: KNC3XDUM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KNC3XDUM4HCTTMXR3DRIA3GHIS \
  | 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: 5345bb8e8ce1c539b2f1d8e2806cc744ae3d9e7d952e18fd0ed5ac9e94f4ef77
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9cae232babfd11d3a952f73e642ae1506a966ff3c4fe301fa877747479f85f9f",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-19T12:30:42Z",
    "title_canon_sha256": "bef08a312f7cc190a652337952a6fd943ca251a28b8ddc378f55daae2cebc6ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19756",
    "kind": "arxiv",
    "version": 1
  }
}