Pith Number

pith:GTVLQZN2

pith:2013:GTVLQZN2FIQWJWZUOYVVVOOUC6

not attested not anchored not stored refs pending

Stability and bifurcations for dissipative polynomial automorphisms of C^2

Mikhail Lyubich, Romain Dujardin

arxiv:1305.2898 v2 · 2013-05-13 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTVLQZN2FIQWJWZUOYVVVOOUC6}

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	2026-05-18T02:53:56.407798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34eab865ba2a2164db34762b5ab9d417b5e13c969844cde09361a26936aacced

Aliases

arxiv: 1305.2898 · arxiv_version: 1305.2898v2 · doi: 10.48550/arxiv.1305.2898 · pith_short_12: GTVLQZN2FIQW · pith_short_16: GTVLQZN2FIQWJWZU · pith_short_8: GTVLQZN2

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/GTVLQZN2FIQWJWZUOYVVVOOUC6 \
  | 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: 34eab865ba2a2164db34762b5ab9d417b5e13c969844cde09361a26936aacced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73192216fc3f7cb15ed58cb3e93fad6ad7e2aeb3749db26ca11f8f0c72f052ab",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-13T19:25:22Z",
    "title_canon_sha256": "69adfe78ded6229df2f7991165ea97114842c30d4534e4c3e19b7aef2331c32b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2898",
    "kind": "arxiv",
    "version": 2
  }
}