Pith Number

pith:KPFTTRLI

pith:2025:KPFTTRLIYCGMHFCTECPF7JISSO

not attested not anchored not stored refs pending

ff-bifbox: A scalable, open-source toolbox for bifurcation analysis of nonlinear PDEs

Christopher M. Douglas, Pierre Jolivet

arxiv:2509.18429 v3 · 2025-09-22 · math.NA · cs.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPFTTRLIYCGMHFCTECPF7JISSO}

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	2026-05-18T03:10:12.210987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53cb39c568c08cc39453209e5fa51293a3376c49847738b6b44b2ef141813c85

Aliases

arxiv: 2509.18429 · arxiv_version: 2509.18429v3 · doi: 10.48550/arxiv.2509.18429 · pith_short_12: KPFTTRLIYCGM · pith_short_16: KPFTTRLIYCGMHFCT · pith_short_8: KPFTTRLI

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/KPFTTRLIYCGMHFCTECPF7JISSO \
  | 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: 53cb39c568c08cc39453209e5fa51293a3376c49847738b6b44b2ef141813c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2981f1e73b6e07e6c23addd85e2bd5587b45ca8e3bc39e6ffde412c4efb3cf0",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-22T21:21:54Z",
    "title_canon_sha256": "d164c2ee2dfa6b459d3bd2d3cb36fffdd6764120fda94a17e55db02e0af5c7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.18429",
    "kind": "arxiv",
    "version": 3
  }
}