Pith Number

pith:O2CGLWOO

pith:2010:O2CGLWOOKW4FPAWIS7NQIHEWDM

not attested not anchored not stored refs pending

The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation

G.Contopoulos, M.Katsanikas, P.A.Patsis

arxiv:1012.2463 v2 · 2010-12-11 · nlin.CD · astro-ph.CO · astro-ph.GA · math-ph · math.DS · 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{O2CGLWOOKW4FPAWIS7NQIHEWDM}

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	2026-05-18T00:53:19.619002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768465d9ce55b85782c897db041c961b2bee3d3166df00b613d3c66af35adf14

Aliases

arxiv: 1012.2463 · arxiv_version: 1012.2463v2 · doi: 10.48550/arxiv.1012.2463 · pith_short_12: O2CGLWOOKW4F · pith_short_16: O2CGLWOOKW4FPAWI · pith_short_8: O2CGLWOO

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/O2CGLWOOKW4FPAWIS7NQIHEWDM \
  | 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: 768465d9ce55b85782c897db041c961b2bee3d3166df00b613d3c66af35adf14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047d45c606fca23efbac93bc4538f20afdd6ad764aac26d503a03106e3304ca8",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA",
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2010-12-11T14:58:10Z",
    "title_canon_sha256": "2d71b4ed68198394a18e4650adec03f25b08bb1131970a621e16c06bf28f24b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2463",
    "kind": "arxiv",
    "version": 2
  }
}